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Finding the Fourth Proportional to 7,245.52, 10,869.76 and 2,565.36

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Solution

The fourth proportional to 7,245.52, 10,869.76 and 2,565.36 is: 3,848.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.52 : 10,869.76 = 2,565.36 : x
  2. Step 2: Convert to fraction form
    7,245.52/10,869.76 = 2,565.36/x
  3. Step 3: Cross multiply
    7,245.52x = 10,869.76 × 2,565.36
  4. Step 4: Simplify right side
    7,245.52x = 27,884,847.51
  5. Step 5: Solve for x
    x = 27,884,847.51/7,245.52
  6. Step 6: Final answer
    x = 3,848.56

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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.