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Finding the Fourth Proportional to 8,041.56, 11,097.18 and 4,456.50

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Solution

The fourth proportional to 8,041.56, 11,097.18 and 4,456.50 is: 6,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.56 : 11,097.18 = 4,456.50 : x
  2. Step 2: Convert to fraction form
    8,041.56/11,097.18 = 4,456.50/x
  3. Step 3: Cross multiply
    8,041.56x = 11,097.18 × 4,456.50
  4. Step 4: Simplify right side
    8,041.56x = 49,454,582.67
  5. Step 5: Solve for x
    x = 49,454,582.67/8,041.56
  6. Step 6: Final answer
    x = 6,149.87

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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.