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Finding the Fourth Proportional to 8,031.17, 12,046.71 and 5,357.10

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Solution

The fourth proportional to 8,031.17, 12,046.71 and 5,357.10 is: 8,035.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.17 : 12,046.71 = 5,357.10 : x
  2. Step 2: Convert to fraction form
    8,031.17/12,046.71 = 5,357.10/x
  3. Step 3: Cross multiply
    8,031.17x = 12,046.71 × 5,357.10
  4. Step 4: Simplify right side
    8,031.17x = 64,535,465.27
  5. Step 5: Solve for x
    x = 64,535,465.27/8,031.17
  6. Step 6: Final answer
    x = 8,035.63

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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.