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Finding the Fourth Proportional to 5,123.30, 7,721.86 and 5,123.30

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Solution

The fourth proportional to 5,123.30, 7,721.86 and 5,123.30 is: 7,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.30 : 7,721.86 = 5,123.30 : x
  2. Step 2: Convert to fraction form
    5,123.30/7,721.86 = 5,123.30/x
  3. Step 3: Cross multiply
    5,123.30x = 7,721.86 × 5,123.30
  4. Step 4: Simplify right side
    5,123.30x = 39,561,379.72
  5. Step 5: Solve for x
    x = 39,561,379.72/5,123.30
  6. Step 6: Final answer
    x = 7,721.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.