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Finding the Fourth Proportional to 11,294.95, 15,577.83 and 7,948.85

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Solution

The fourth proportional to 11,294.95, 15,577.83 and 7,948.85 is: 10,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.95 : 15,577.83 = 7,948.85 : x
  2. Step 2: Convert to fraction form
    11,294.95/15,577.83 = 7,948.85/x
  3. Step 3: Cross multiply
    11,294.95x = 15,577.83 × 7,948.85
  4. Step 4: Simplify right side
    11,294.95x = 123,825,794.25
  5. Step 5: Solve for x
    x = 123,825,794.25/11,294.95
  6. Step 6: Final answer
    x = 10,962.93

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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.