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Finding the Fourth Proportional to 10,596.68, 15,895.04 and 3,671.18

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Solution

The fourth proportional to 10,596.68, 15,895.04 and 3,671.18 is: 5,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.68 : 15,895.04 = 3,671.18 : x
  2. Step 2: Convert to fraction form
    10,596.68/15,895.04 = 3,671.18/x
  3. Step 3: Cross multiply
    10,596.68x = 15,895.04 × 3,671.18
  4. Step 4: Simplify right side
    10,596.68x = 58,353,552.95
  5. Step 5: Solve for x
    x = 58,353,552.95/10,596.68
  6. Step 6: Final answer
    x = 5,506.78

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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.