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Finding the Fourth Proportional to 8,257.29, 12,385.47 and 6,038.40

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Solution

The fourth proportional to 8,257.29, 12,385.47 and 6,038.40 is: 9,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.29 : 12,385.47 = 6,038.40 : x
  2. Step 2: Convert to fraction form
    8,257.29/12,385.47 = 6,038.40/x
  3. Step 3: Cross multiply
    8,257.29x = 12,385.47 × 6,038.40
  4. Step 4: Simplify right side
    8,257.29x = 74,788,422.05
  5. Step 5: Solve for x
    x = 74,788,422.05/8,257.29
  6. Step 6: Final answer
    x = 9,057.26

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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.