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Finding the Fourth Proportional to 8,488.72, 12,734.04 and 2,646.80

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Solution

The fourth proportional to 8,488.72, 12,734.04 and 2,646.80 is: 3,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.72 : 12,734.04 = 2,646.80 : x
  2. Step 2: Convert to fraction form
    8,488.72/12,734.04 = 2,646.80/x
  3. Step 3: Cross multiply
    8,488.72x = 12,734.04 × 2,646.80
  4. Step 4: Simplify right side
    8,488.72x = 33,704,457.07
  5. Step 5: Solve for x
    x = 33,704,457.07/8,488.72
  6. Step 6: Final answer
    x = 3,970.50

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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.