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Finding the Fourth Proportional to 7,582.68, 11,376.18 and 5,504.76

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Solution

The fourth proportional to 7,582.68, 11,376.18 and 5,504.76 is: 8,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.68 : 11,376.18 = 5,504.76 : x
  2. Step 2: Convert to fraction form
    7,582.68/11,376.18 = 5,504.76/x
  3. Step 3: Cross multiply
    7,582.68x = 11,376.18 × 5,504.76
  4. Step 4: Simplify right side
    7,582.68x = 62,623,140.62
  5. Step 5: Solve for x
    x = 62,623,140.62/7,582.68
  6. Step 6: Final answer
    x = 8,258.71

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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.