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Finding the Fourth Proportional to 7,663.82, 10,573.35 and 5,012.78

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Solution

The fourth proportional to 7,663.82, 10,573.35 and 5,012.78 is: 6,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.82 : 10,573.35 = 5,012.78 : x
  2. Step 2: Convert to fraction form
    7,663.82/10,573.35 = 5,012.78/x
  3. Step 3: Cross multiply
    7,663.82x = 10,573.35 × 5,012.78
  4. Step 4: Simplify right side
    7,663.82x = 53,001,877.41
  5. Step 5: Solve for x
    x = 53,001,877.41/7,663.82
  6. Step 6: Final answer
    x = 6,915.86

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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.