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Finding the Fourth Proportional to 10,842.43, 14,965.06 and 7,059.01

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Solution

The fourth proportional to 10,842.43, 14,965.06 and 7,059.01 is: 9,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.43 : 14,965.06 = 7,059.01 : x
  2. Step 2: Convert to fraction form
    10,842.43/14,965.06 = 7,059.01/x
  3. Step 3: Cross multiply
    10,842.43x = 14,965.06 × 7,059.01
  4. Step 4: Simplify right side
    10,842.43x = 105,638,472.90
  5. Step 5: Solve for x
    x = 105,638,472.90/10,842.43
  6. Step 6: Final answer
    x = 9,743.06

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