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Finding the Fourth Proportional to 10,115.66, 15,173.02 and 3,543.32

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Solution

The fourth proportional to 10,115.66, 15,173.02 and 3,543.32 is: 5,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.66 : 15,173.02 = 3,543.32 : x
  2. Step 2: Convert to fraction form
    10,115.66/15,173.02 = 3,543.32/x
  3. Step 3: Cross multiply
    10,115.66x = 15,173.02 × 3,543.32
  4. Step 4: Simplify right side
    10,115.66x = 53,762,865.23
  5. Step 5: Solve for x
    x = 53,762,865.23/10,115.66
  6. Step 6: Final answer
    x = 5,314.82

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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.