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Finding the Fourth Proportional to 10,487.14, 14,470.05 and 6,010.54

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Solution

The fourth proportional to 10,487.14, 14,470.05 and 6,010.54 is: 8,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.14 : 14,470.05 = 6,010.54 : x
  2. Step 2: Convert to fraction form
    10,487.14/14,470.05 = 6,010.54/x
  3. Step 3: Cross multiply
    10,487.14x = 14,470.05 × 6,010.54
  4. Step 4: Simplify right side
    10,487.14x = 86,972,814.33
  5. Step 5: Solve for x
    x = 86,972,814.33/10,487.14
  6. Step 6: Final answer
    x = 8,293.28

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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.