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Finding the Fourth Proportional to 10,346.86, 15,500.85 and 5,140.18

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Solution

The fourth proportional to 10,346.86, 15,500.85 and 5,140.18 is: 7,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.86 : 15,500.85 = 5,140.18 : x
  2. Step 2: Convert to fraction form
    10,346.86/15,500.85 = 5,140.18/x
  3. Step 3: Cross multiply
    10,346.86x = 15,500.85 × 5,140.18
  4. Step 4: Simplify right side
    10,346.86x = 79,677,159.15
  5. Step 5: Solve for x
    x = 79,677,159.15/10,346.86
  6. Step 6: Final answer
    x = 7,700.61

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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.