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Finding the Fourth Proportional to 11,432.84, 15,773.82 and 7,452.50

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Solution

The fourth proportional to 11,432.84, 15,773.82 and 7,452.50 is: 10,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.84 : 15,773.82 = 7,452.50 : x
  2. Step 2: Convert to fraction form
    11,432.84/15,773.82 = 7,452.50/x
  3. Step 3: Cross multiply
    11,432.84x = 15,773.82 × 7,452.50
  4. Step 4: Simplify right side
    11,432.84x = 117,554,393.55
  5. Step 5: Solve for x
    x = 117,554,393.55/11,432.84
  6. Step 6: Final answer
    x = 10,282.17

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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.