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Finding the Fourth Proportional to 7,710.97, 11,565.55 and 2,164.76

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Solution

The fourth proportional to 7,710.97, 11,565.55 and 2,164.76 is: 3,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.97 : 11,565.55 = 2,164.76 : x
  2. Step 2: Convert to fraction form
    7,710.97/11,565.55 = 2,164.76/x
  3. Step 3: Cross multiply
    7,710.97x = 11,565.55 × 2,164.76
  4. Step 4: Simplify right side
    7,710.97x = 25,036,640.02
  5. Step 5: Solve for x
    x = 25,036,640.02/7,710.97
  6. Step 6: Final answer
    x = 3,246.89

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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.