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Finding the Fourth Proportional to 10,842.57, 14,957.19 and 7,072.07

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Solution

The fourth proportional to 10,842.57, 14,957.19 and 7,072.07 is: 9,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.57 : 14,957.19 = 7,072.07 : x
  2. Step 2: Convert to fraction form
    10,842.57/14,957.19 = 7,072.07/x
  3. Step 3: Cross multiply
    10,842.57x = 14,957.19 × 7,072.07
  4. Step 4: Simplify right side
    10,842.57x = 105,778,219.90
  5. Step 5: Solve for x
    x = 105,778,219.90/10,842.57
  6. Step 6: Final answer
    x = 9,755.83

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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.