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Finding the Fourth Proportional to 7,312, 10,090.56 and 4,000

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Solution

The fourth proportional to 7,312, 10,090.56 and 4,000 is: 5,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312 : 10,090.56 = 4,000 : x
  2. Step 2: Convert to fraction form
    7,312/10,090.56 = 4,000/x
  3. Step 3: Cross multiply
    7,312x = 10,090.56 × 4,000
  4. Step 4: Simplify right side
    7,312x = 40,362,240
  5. Step 5: Solve for x
    x = 40,362,240/7,312
  6. Step 6: Final answer
    x = 5,520

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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.