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Finding the Fourth Proportional to 7,585.97, 11,372.85 and 5,089.76

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Solution

The fourth proportional to 7,585.97, 11,372.85 and 5,089.76 is: 7,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.97 : 11,372.85 = 5,089.76 : x
  2. Step 2: Convert to fraction form
    7,585.97/11,372.85 = 5,089.76/x
  3. Step 3: Cross multiply
    7,585.97x = 11,372.85 × 5,089.76
  4. Step 4: Simplify right side
    7,585.97x = 57,885,077.02
  5. Step 5: Solve for x
    x = 57,885,077.02/7,585.97
  6. Step 6: Final answer
    x = 7,630.54

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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.