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Finding the Fourth Proportional to 7,885.76, 11,828.10 and 2,691.50

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Solution

The fourth proportional to 7,885.76, 11,828.10 and 2,691.50 is: 4,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.76 : 11,828.10 = 2,691.50 : x
  2. Step 2: Convert to fraction form
    7,885.76/11,828.10 = 2,691.50/x
  3. Step 3: Cross multiply
    7,885.76x = 11,828.10 × 2,691.50
  4. Step 4: Simplify right side
    7,885.76x = 31,835,331.15
  5. Step 5: Solve for x
    x = 31,835,331.15/7,885.76
  6. Step 6: Final answer
    x = 4,037.07

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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.