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Finding the Fourth Proportional to 10,399.39, 15,582.65 and 8,442.02

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Solution

The fourth proportional to 10,399.39, 15,582.65 and 8,442.02 is: 12,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.39 : 15,582.65 = 8,442.02 : x
  2. Step 2: Convert to fraction form
    10,399.39/15,582.65 = 8,442.02/x
  3. Step 3: Cross multiply
    10,399.39x = 15,582.65 × 8,442.02
  4. Step 4: Simplify right side
    10,399.39x = 131,549,039.70
  5. Step 5: Solve for x
    x = 131,549,039.70/10,399.39
  6. Step 6: Final answer
    x = 12,649.69

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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.