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Finding the Fourth Proportional to 8,719.28, 12,032.25 and 5,182.46

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Solution

The fourth proportional to 8,719.28, 12,032.25 and 5,182.46 is: 7,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.28 : 12,032.25 = 5,182.46 : x
  2. Step 2: Convert to fraction form
    8,719.28/12,032.25 = 5,182.46/x
  3. Step 3: Cross multiply
    8,719.28x = 12,032.25 × 5,182.46
  4. Step 4: Simplify right side
    8,719.28x = 62,356,654.34
  5. Step 5: Solve for x
    x = 62,356,654.34/8,719.28
  6. Step 6: Final answer
    x = 7,151.58

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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.