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Finding the Fourth Proportional to 10,596.88, 15,898.15 and 3,671.38

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Solution

The fourth proportional to 10,596.88, 15,898.15 and 3,671.38 is: 5,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.88 : 15,898.15 = 3,671.38 : x
  2. Step 2: Convert to fraction form
    10,596.88/15,898.15 = 3,671.38/x
  3. Step 3: Cross multiply
    10,596.88x = 15,898.15 × 3,671.38
  4. Step 4: Simplify right side
    10,596.88x = 58,368,070.46
  5. Step 5: Solve for x
    x = 58,368,070.46/10,596.88
  6. Step 6: Final answer
    x = 5,508.05

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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.