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Finding the Fourth Proportional to 8,260.26, 12,397.86 and 5,146.30

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Solution

The fourth proportional to 8,260.26, 12,397.86 and 5,146.30 is: 7,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260.26 : 12,397.86 = 5,146.30 : x
  2. Step 2: Convert to fraction form
    8,260.26/12,397.86 = 5,146.30/x
  3. Step 3: Cross multiply
    8,260.26x = 12,397.86 × 5,146.30
  4. Step 4: Simplify right side
    8,260.26x = 63,803,106.92
  5. Step 5: Solve for x
    x = 63,803,106.92/8,260.26
  6. Step 6: Final answer
    x = 7,724.10

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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.