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Finding the Fourth Proportional to 8,271.47, 12,378.60 and 5,107.61

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Solution

The fourth proportional to 8,271.47, 12,378.60 and 5,107.61 is: 7,643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.47 : 12,378.60 = 5,107.61 : x
  2. Step 2: Convert to fraction form
    8,271.47/12,378.60 = 5,107.61/x
  3. Step 3: Cross multiply
    8,271.47x = 12,378.60 × 5,107.61
  4. Step 4: Simplify right side
    8,271.47x = 63,225,061.15
  5. Step 5: Solve for x
    x = 63,225,061.15/8,271.47
  6. Step 6: Final answer
    x = 7,643.75

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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.