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Finding the Fourth Proportional to 27,808.32, 41,712.13 and 6,748.53

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Solution

The fourth proportional to 27,808.32, 41,712.13 and 6,748.53 is: 10,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.32 : 41,712.13 = 6,748.53 : x
  2. Step 2: Convert to fraction form
    27,808.32/41,712.13 = 6,748.53/x
  3. Step 3: Cross multiply
    27,808.32x = 41,712.13 × 6,748.53
  4. Step 4: Simplify right side
    27,808.32x = 281,495,526.93
  5. Step 5: Solve for x
    x = 281,495,526.93/27,808.32
  6. Step 6: Final answer
    x = 10,122.71

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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.