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Finding the Fourth Proportional to 10,123.39, 13,966.08 and 6,721.99

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Solution

The fourth proportional to 10,123.39, 13,966.08 and 6,721.99 is: 9,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.39 : 13,966.08 = 6,721.99 : x
  2. Step 2: Convert to fraction form
    10,123.39/13,966.08 = 6,721.99/x
  3. Step 3: Cross multiply
    10,123.39x = 13,966.08 × 6,721.99
  4. Step 4: Simplify right side
    10,123.39x = 93,879,850.10
  5. Step 5: Solve for x
    x = 93,879,850.10/10,123.39
  6. Step 6: Final answer
    x = 9,273.56

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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.