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Finding the Fourth Proportional to 10,489.06, 14,475 and 5,773.36

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Solution

The fourth proportional to 10,489.06, 14,475 and 5,773.36 is: 7,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.06 : 14,475 = 5,773.36 : x
  2. Step 2: Convert to fraction form
    10,489.06/14,475 = 5,773.36/x
  3. Step 3: Cross multiply
    10,489.06x = 14,475 × 5,773.36
  4. Step 4: Simplify right side
    10,489.06x = 83,569,386
  5. Step 5: Solve for x
    x = 83,569,386/10,489.06
  6. Step 6: Final answer
    x = 7,967.29

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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.