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Finding the Fourth Proportional to 10,967.60, 16,454.14 and 6,292.88

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Solution

The fourth proportional to 10,967.60, 16,454.14 and 6,292.88 is: 9,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.60 : 16,454.14 = 6,292.88 : x
  2. Step 2: Convert to fraction form
    10,967.60/16,454.14 = 6,292.88/x
  3. Step 3: Cross multiply
    10,967.60x = 16,454.14 × 6,292.88
  4. Step 4: Simplify right side
    10,967.60x = 103,543,928.52
  5. Step 5: Solve for x
    x = 103,543,928.52/10,967.60
  6. Step 6: Final answer
    x = 9,440.89

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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.