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Finding the Fourth Proportional to 10,966.32, 15,132.60 and 6,249.60

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Solution

The fourth proportional to 10,966.32, 15,132.60 and 6,249.60 is: 8,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.32 : 15,132.60 = 6,249.60 : x
  2. Step 2: Convert to fraction form
    10,966.32/15,132.60 = 6,249.60/x
  3. Step 3: Cross multiply
    10,966.32x = 15,132.60 × 6,249.60
  4. Step 4: Simplify right side
    10,966.32x = 94,572,696.96
  5. Step 5: Solve for x
    x = 94,572,696.96/10,966.32
  6. Step 6: Final answer
    x = 8,623.92

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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.