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Finding the Fourth Proportional to 11,583.68, 17,403.52 and 7,432

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Solution

The fourth proportional to 11,583.68, 17,403.52 and 7,432 is: 11,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.68 : 17,403.52 = 7,432 : x
  2. Step 2: Convert to fraction form
    11,583.68/17,403.52 = 7,432/x
  3. Step 3: Cross multiply
    11,583.68x = 17,403.52 × 7,432
  4. Step 4: Simplify right side
    11,583.68x = 129,342,960.64
  5. Step 5: Solve for x
    x = 129,342,960.64/11,583.68
  6. Step 6: Final answer
    x = 11,165.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.