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Finding the Fourth Proportional to 10,309.97, 14,226.88 and 6,061.16

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Solution

The fourth proportional to 10,309.97, 14,226.88 and 6,061.16 is: 8,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.97 : 14,226.88 = 6,061.16 : x
  2. Step 2: Convert to fraction form
    10,309.97/14,226.88 = 6,061.16/x
  3. Step 3: Cross multiply
    10,309.97x = 14,226.88 × 6,061.16
  4. Step 4: Simplify right side
    10,309.97x = 86,231,395.98
  5. Step 5: Solve for x
    x = 86,231,395.98/10,309.97
  6. Step 6: Final answer
    x = 8,363.88

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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.