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Finding the Fourth Proportional to 10,324.95, 14,248.41 and 5,609.32

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Solution

The fourth proportional to 10,324.95, 14,248.41 and 5,609.32 is: 7,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.95 : 14,248.41 = 5,609.32 : x
  2. Step 2: Convert to fraction form
    10,324.95/14,248.41 = 5,609.32/x
  3. Step 3: Cross multiply
    10,324.95x = 14,248.41 × 5,609.32
  4. Step 4: Simplify right side
    10,324.95x = 79,923,891.18
  5. Step 5: Solve for x
    x = 79,923,891.18/10,324.95
  6. Step 6: Final answer
    x = 7,740.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.