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Finding the Fourth Proportional to 10,967.84, 15,134.52 and 7,432.40

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Solution

The fourth proportional to 10,967.84, 15,134.52 and 7,432.40 is: 10,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.84 : 15,134.52 = 7,432.40 : x
  2. Step 2: Convert to fraction form
    10,967.84/15,134.52 = 7,432.40/x
  3. Step 3: Cross multiply
    10,967.84x = 15,134.52 × 7,432.40
  4. Step 4: Simplify right side
    10,967.84x = 112,485,806.45
  5. Step 5: Solve for x
    x = 112,485,806.45/10,967.84
  6. Step 6: Final answer
    x = 10,255.97

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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.