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Finding the Fourth Proportional to 10,038.29, 15,058.46 and 3,464.46

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Solution

The fourth proportional to 10,038.29, 15,058.46 and 3,464.46 is: 5,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.29 : 15,058.46 = 3,464.46 : x
  2. Step 2: Convert to fraction form
    10,038.29/15,058.46 = 3,464.46/x
  3. Step 3: Cross multiply
    10,038.29x = 15,058.46 × 3,464.46
  4. Step 4: Simplify right side
    10,038.29x = 52,169,432.33
  5. Step 5: Solve for x
    x = 52,169,432.33/10,038.29
  6. Step 6: Final answer
    x = 5,197.04

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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.