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Finding the Fourth Proportional to 10,098.59, 15,148.70 and 3,524.63

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Solution

The fourth proportional to 10,098.59, 15,148.70 and 3,524.63 is: 5,287.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.59 : 15,148.70 = 3,524.63 : x
  2. Step 2: Convert to fraction form
    10,098.59/15,148.70 = 3,524.63/x
  3. Step 3: Cross multiply
    10,098.59x = 15,148.70 × 3,524.63
  4. Step 4: Simplify right side
    10,098.59x = 53,393,544.86
  5. Step 5: Solve for x
    x = 53,393,544.86/10,098.59
  6. Step 6: Final answer
    x = 5,287.23

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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.