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Finding the Fourth Proportional to 8,677.64, 13,007.28 and 2,832.68

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Solution

The fourth proportional to 8,677.64, 13,007.28 and 2,832.68 is: 4,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.64 : 13,007.28 = 2,832.68 : x
  2. Step 2: Convert to fraction form
    8,677.64/13,007.28 = 2,832.68/x
  3. Step 3: Cross multiply
    8,677.64x = 13,007.28 × 2,832.68
  4. Step 4: Simplify right side
    8,677.64x = 36,845,461.91
  5. Step 5: Solve for x
    x = 36,845,461.91/8,677.64
  6. Step 6: Final answer
    x = 4,246.02

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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.