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Finding the Fourth Proportional to 10,842.58, 16,251.32 and 4,986.90

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Solution

The fourth proportional to 10,842.58, 16,251.32 and 4,986.90 is: 7,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.58 : 16,251.32 = 4,986.90 : x
  2. Step 2: Convert to fraction form
    10,842.58/16,251.32 = 4,986.90/x
  3. Step 3: Cross multiply
    10,842.58x = 16,251.32 × 4,986.90
  4. Step 4: Simplify right side
    10,842.58x = 81,043,707.71
  5. Step 5: Solve for x
    x = 81,043,707.71/10,842.58
  6. Step 6: Final answer
    x = 7,474.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.