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Finding the Fourth Proportional to 11,278.90, 15,557.62 and 7,744.06

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Solution

The fourth proportional to 11,278.90, 15,557.62 and 7,744.06 is: 10,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.90 : 15,557.62 = 7,744.06 : x
  2. Step 2: Convert to fraction form
    11,278.90/15,557.62 = 7,744.06/x
  3. Step 3: Cross multiply
    11,278.90x = 15,557.62 × 7,744.06
  4. Step 4: Simplify right side
    11,278.90x = 120,479,142.74
  5. Step 5: Solve for x
    x = 120,479,142.74/11,278.90
  6. Step 6: Final answer
    x = 10,681.82

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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.