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Finding the Fourth Proportional to 10,486.04, 14,470.72 and 5,705.96

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Solution

The fourth proportional to 10,486.04, 14,470.72 and 5,705.96 is: 7,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.04 : 14,470.72 = 5,705.96 : x
  2. Step 2: Convert to fraction form
    10,486.04/14,470.72 = 5,705.96/x
  3. Step 3: Cross multiply
    10,486.04x = 14,470.72 × 5,705.96
  4. Step 4: Simplify right side
    10,486.04x = 82,569,349.49
  5. Step 5: Solve for x
    x = 82,569,349.49/10,486.04
  6. Step 6: Final answer
    x = 7,874.22

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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.