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Finding the Fourth Proportional to 8,046.60, 12,070.80 and 2,498.64

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Solution

The fourth proportional to 8,046.60, 12,070.80 and 2,498.64 is: 3,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.60 : 12,070.80 = 2,498.64 : x
  2. Step 2: Convert to fraction form
    8,046.60/12,070.80 = 2,498.64/x
  3. Step 3: Cross multiply
    8,046.60x = 12,070.80 × 2,498.64
  4. Step 4: Simplify right side
    8,046.60x = 30,160,583.71
  5. Step 5: Solve for x
    x = 30,160,583.71/8,046.60
  6. Step 6: Final answer
    x = 3,748.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.