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Finding the Fourth Proportional to 8,159.64, 12,238.91 and 4,862.40

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Solution

The fourth proportional to 8,159.64, 12,238.91 and 4,862.40 is: 7,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.64 : 12,238.91 = 4,862.40 : x
  2. Step 2: Convert to fraction form
    8,159.64/12,238.91 = 4,862.40/x
  3. Step 3: Cross multiply
    8,159.64x = 12,238.91 × 4,862.40
  4. Step 4: Simplify right side
    8,159.64x = 59,510,475.98
  5. Step 5: Solve for x
    x = 59,510,475.98/8,159.64
  6. Step 6: Final answer
    x = 7,293.27

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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.