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Finding the Fourth Proportional to 10,039.14, 15,058.31 and 4,776.71

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Solution

The fourth proportional to 10,039.14, 15,058.31 and 4,776.71 is: 7,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039.14 : 15,058.31 = 4,776.71 : x
  2. Step 2: Convert to fraction form
    10,039.14/15,058.31 = 4,776.71/x
  3. Step 3: Cross multiply
    10,039.14x = 15,058.31 × 4,776.71
  4. Step 4: Simplify right side
    10,039.14x = 71,929,080.79
  5. Step 5: Solve for x
    x = 71,929,080.79/10,039.14
  6. Step 6: Final answer
    x = 7,164.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.