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Finding the Fourth Proportional to 11,432.61, 17,152.16 and 3,642.03

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Solution

The fourth proportional to 11,432.61, 17,152.16 and 3,642.03 is: 5,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.61 : 17,152.16 = 3,642.03 : x
  2. Step 2: Convert to fraction form
    11,432.61/17,152.16 = 3,642.03/x
  3. Step 3: Cross multiply
    11,432.61x = 17,152.16 × 3,642.03
  4. Step 4: Simplify right side
    11,432.61x = 62,468,663.07
  5. Step 5: Solve for x
    x = 62,468,663.07/11,432.61
  6. Step 6: Final answer
    x = 5,464.08

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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.