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Finding the Fourth Proportional to 10,967.66, 15,134.19 and 6,491.60

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Solution

The fourth proportional to 10,967.66, 15,134.19 and 6,491.60 is: 8,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.66 : 15,134.19 = 6,491.60 : x
  2. Step 2: Convert to fraction form
    10,967.66/15,134.19 = 6,491.60/x
  3. Step 3: Cross multiply
    10,967.66x = 15,134.19 × 6,491.60
  4. Step 4: Simplify right side
    10,967.66x = 98,245,107.80
  5. Step 5: Solve for x
    x = 98,245,107.80/10,967.66
  6. Step 6: Final answer
    x = 8,957.71

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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.