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Finding the Fourth Proportional to 11,841.88, 16,348.06 and 7,652.52

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Solution

The fourth proportional to 11,841.88, 16,348.06 and 7,652.52 is: 10,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.88 : 16,348.06 = 7,652.52 : x
  2. Step 2: Convert to fraction form
    11,841.88/16,348.06 = 7,652.52/x
  3. Step 3: Cross multiply
    11,841.88x = 16,348.06 × 7,652.52
  4. Step 4: Simplify right side
    11,841.88x = 125,103,856.11
  5. Step 5: Solve for x
    x = 125,103,856.11/11,841.88
  6. Step 6: Final answer
    x = 10,564.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.