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Finding the Fourth Proportional to 11,850.42, 16,352.76 and 7,312.38

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Solution

The fourth proportional to 11,850.42, 16,352.76 and 7,312.38 is: 10,090.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.42 : 16,352.76 = 7,312.38 : x
  2. Step 2: Convert to fraction form
    11,850.42/16,352.76 = 7,312.38/x
  3. Step 3: Cross multiply
    11,850.42x = 16,352.76 × 7,312.38
  4. Step 4: Simplify right side
    11,850.42x = 119,577,595.17
  5. Step 5: Solve for x
    x = 119,577,595.17/11,850.42
  6. Step 6: Final answer
    x = 10,090.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.