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Finding the Fourth Proportional to 12,867.04, 17,756.85 and 7,201.60

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Solution

The fourth proportional to 12,867.04, 17,756.85 and 7,201.60 is: 9,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.04 : 17,756.85 = 7,201.60 : x
  2. Step 2: Convert to fraction form
    12,867.04/17,756.85 = 7,201.60/x
  3. Step 3: Cross multiply
    12,867.04x = 17,756.85 × 7,201.60
  4. Step 4: Simplify right side
    12,867.04x = 127,877,730.96
  5. Step 5: Solve for x
    x = 127,877,730.96/12,867.04
  6. Step 6: Final answer
    x = 9,938.40

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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.