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Finding the Fourth Proportional to 7,663.90, 10,576.56 and 4,307.78

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Solution

The fourth proportional to 7,663.90, 10,576.56 and 4,307.78 is: 5,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.90 : 10,576.56 = 4,307.78 : x
  2. Step 2: Convert to fraction form
    7,663.90/10,576.56 = 4,307.78/x
  3. Step 3: Cross multiply
    7,663.90x = 10,576.56 × 4,307.78
  4. Step 4: Simplify right side
    7,663.90x = 45,561,493.64
  5. Step 5: Solve for x
    x = 45,561,493.64/7,663.90
  6. Step 6: Final answer
    x = 5,944.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.