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Finding the Fourth Proportional to 8,488.64, 12,732.84 and 4,106.48

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Solution

The fourth proportional to 8,488.64, 12,732.84 and 4,106.48 is: 6,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.64 : 12,732.84 = 4,106.48 : x
  2. Step 2: Convert to fraction form
    8,488.64/12,732.84 = 4,106.48/x
  3. Step 3: Cross multiply
    8,488.64x = 12,732.84 × 4,106.48
  4. Step 4: Simplify right side
    8,488.64x = 52,287,152.80
  5. Step 5: Solve for x
    x = 52,287,152.80/8,488.64
  6. Step 6: Final answer
    x = 6,159.66

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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.