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Finding the Fourth Proportional to 10,415.18, 15,615.82 and 5,737.43

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Solution

The fourth proportional to 10,415.18, 15,615.82 and 5,737.43 is: 8,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.18 : 15,615.82 = 5,737.43 : x
  2. Step 2: Convert to fraction form
    10,415.18/15,615.82 = 5,737.43/x
  3. Step 3: Cross multiply
    10,415.18x = 15,615.82 × 5,737.43
  4. Step 4: Simplify right side
    10,415.18x = 89,594,720.35
  5. Step 5: Solve for x
    x = 89,594,720.35/10,415.18
  6. Step 6: Final answer
    x = 8,602.32

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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.