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Finding the Fourth Proportional to 8,596.96, 12,897.36 and 2,753.52

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Solution

The fourth proportional to 8,596.96, 12,897.36 and 2,753.52 is: 4,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.96 : 12,897.36 = 2,753.52 : x
  2. Step 2: Convert to fraction form
    8,596.96/12,897.36 = 2,753.52/x
  3. Step 3: Cross multiply
    8,596.96x = 12,897.36 × 2,753.52
  4. Step 4: Simplify right side
    8,596.96x = 35,513,138.71
  5. Step 5: Solve for x
    x = 35,513,138.71/8,596.96
  6. Step 6: Final answer
    x = 4,130.89

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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.