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Finding the Fourth Proportional to 10,418.16, 15,632.10 and 5,159.64

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Solution

The fourth proportional to 10,418.16, 15,632.10 and 5,159.64 is: 7,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.16 : 15,632.10 = 5,159.64 : x
  2. Step 2: Convert to fraction form
    10,418.16/15,632.10 = 5,159.64/x
  3. Step 3: Cross multiply
    10,418.16x = 15,632.10 × 5,159.64
  4. Step 4: Simplify right side
    10,418.16x = 80,656,008.44
  5. Step 5: Solve for x
    x = 80,656,008.44/10,418.16
  6. Step 6: Final answer
    x = 7,741.87

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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.