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Finding the Fourth Proportional to 8,788.54, 12,133.84 and 7,842.70

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Solution

The fourth proportional to 8,788.54, 12,133.84 and 7,842.70 is: 10,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,788.54 : 12,133.84 = 7,842.70 : x
  2. Step 2: Convert to fraction form
    8,788.54/12,133.84 = 7,842.70/x
  3. Step 3: Cross multiply
    8,788.54x = 12,133.84 × 7,842.70
  4. Step 4: Simplify right side
    8,788.54x = 95,162,082.14
  5. Step 5: Solve for x
    x = 95,162,082.14/8,788.54
  6. Step 6: Final answer
    x = 10,827.98

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