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Finding the Fourth Proportional to 7,565.97, 11,347.20 and 2,886.51

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Solution

The fourth proportional to 7,565.97, 11,347.20 and 2,886.51 is: 4,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.97 : 11,347.20 = 2,886.51 : x
  2. Step 2: Convert to fraction form
    7,565.97/11,347.20 = 2,886.51/x
  3. Step 3: Cross multiply
    7,565.97x = 11,347.20 × 2,886.51
  4. Step 4: Simplify right side
    7,565.97x = 32,753,806.27
  5. Step 5: Solve for x
    x = 32,753,806.27/7,565.97
  6. Step 6: Final answer
    x = 4,329.10

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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.