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Finding the Fourth Proportional to 7,049.46, 10,565.01 and 2,884.71

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Solution

The fourth proportional to 7,049.46, 10,565.01 and 2,884.71 is: 4,323.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.46 : 10,565.01 = 2,884.71 : x
  2. Step 2: Convert to fraction form
    7,049.46/10,565.01 = 2,884.71/x
  3. Step 3: Cross multiply
    7,049.46x = 10,565.01 × 2,884.71
  4. Step 4: Simplify right side
    7,049.46x = 30,476,990.00
  5. Step 5: Solve for x
    x = 30,476,990.00/7,049.46
  6. Step 6: Final answer
    x = 4,323.31

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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.