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Finding the Fourth Proportional to 7,582.78, 11,377.48 and 2,655.96

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Solution

The fourth proportional to 7,582.78, 11,377.48 and 2,655.96 is: 3,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.78 : 11,377.48 = 2,655.96 : x
  2. Step 2: Convert to fraction form
    7,582.78/11,377.48 = 2,655.96/x
  3. Step 3: Cross multiply
    7,582.78x = 11,377.48 × 2,655.96
  4. Step 4: Simplify right side
    7,582.78x = 30,218,131.78
  5. Step 5: Solve for x
    x = 30,218,131.78/7,582.78
  6. Step 6: Final answer
    x = 3,985.10

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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.