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Finding the Fourth Proportional to 7,768.76, 10,775.82 and 7,488.56

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Solution

The fourth proportional to 7,768.76, 10,775.82 and 7,488.56 is: 10,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.76 : 10,775.82 = 7,488.56 : x
  2. Step 2: Convert to fraction form
    7,768.76/10,775.82 = 7,488.56/x
  3. Step 3: Cross multiply
    7,768.76x = 10,775.82 × 7,488.56
  4. Step 4: Simplify right side
    7,768.76x = 80,695,401.56
  5. Step 5: Solve for x
    x = 80,695,401.56/7,768.76
  6. Step 6: Final answer
    x = 10,387.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.