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Finding the Fourth Proportional to 7,582.58, 11,369.61 and 5,823.20

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Solution

The fourth proportional to 7,582.58, 11,369.61 and 5,823.20 is: 8,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.58 : 11,369.61 = 5,823.20 : x
  2. Step 2: Convert to fraction form
    7,582.58/11,369.61 = 5,823.20/x
  3. Step 3: Cross multiply
    7,582.58x = 11,369.61 × 5,823.20
  4. Step 4: Simplify right side
    7,582.58x = 66,207,456.10
  5. Step 5: Solve for x
    x = 66,207,456.10/7,582.58
  6. Step 6: Final answer
    x = 8,731.53

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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.