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Finding the Fourth Proportional to 10,520.38, 15,802.44 and 8,344.32

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Solution

The fourth proportional to 10,520.38, 15,802.44 and 8,344.32 is: 12,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.38 : 15,802.44 = 8,344.32 : x
  2. Step 2: Convert to fraction form
    10,520.38/15,802.44 = 8,344.32/x
  3. Step 3: Cross multiply
    10,520.38x = 15,802.44 × 8,344.32
  4. Step 4: Simplify right side
    10,520.38x = 131,860,572.53
  5. Step 5: Solve for x
    x = 131,860,572.53/10,520.38
  6. Step 6: Final answer
    x = 12,533.82

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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.