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Finding the Fourth Proportional to 27,877.68, 41,818.68 and 7,101

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Solution

The fourth proportional to 27,877.68, 41,818.68 and 7,101 is: 10,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.68 : 41,818.68 = 7,101 : x
  2. Step 2: Convert to fraction form
    27,877.68/41,818.68 = 7,101/x
  3. Step 3: Cross multiply
    27,877.68x = 41,818.68 × 7,101
  4. Step 4: Simplify right side
    27,877.68x = 296,954,446.68
  5. Step 5: Solve for x
    x = 296,954,446.68/27,877.68
  6. Step 6: Final answer
    x = 10,652.05

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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.