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Finding the Fourth Proportional to 10,442.39, 15,646.82 and 8,351.37

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Solution

The fourth proportional to 10,442.39, 15,646.82 and 8,351.37 is: 12,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.39 : 15,646.82 = 8,351.37 : x
  2. Step 2: Convert to fraction form
    10,442.39/15,646.82 = 8,351.37/x
  3. Step 3: Cross multiply
    10,442.39x = 15,646.82 × 8,351.37
  4. Step 4: Simplify right side
    10,442.39x = 130,672,341.39
  5. Step 5: Solve for x
    x = 130,672,341.39/10,442.39
  6. Step 6: Final answer
    x = 12,513.65

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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.