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Finding the Fourth Proportional to 7,562.69, 11,344.01 and 5,215.74

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Solution

The fourth proportional to 7,562.69, 11,344.01 and 5,215.74 is: 7,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.69 : 11,344.01 = 5,215.74 : x
  2. Step 2: Convert to fraction form
    7,562.69/11,344.01 = 5,215.74/x
  3. Step 3: Cross multiply
    7,562.69x = 11,344.01 × 5,215.74
  4. Step 4: Simplify right side
    7,562.69x = 59,167,380.64
  5. Step 5: Solve for x
    x = 59,167,380.64/7,562.69
  6. Step 6: Final answer
    x = 7,823.59

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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.