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Finding the Fourth Proportional to 11,287.84, 15,562.78 and 7,744.90

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Solution

The fourth proportional to 11,287.84, 15,562.78 and 7,744.90 is: 10,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.84 : 15,562.78 = 7,744.90 : x
  2. Step 2: Convert to fraction form
    11,287.84/15,562.78 = 7,744.90/x
  3. Step 3: Cross multiply
    11,287.84x = 15,562.78 × 7,744.90
  4. Step 4: Simplify right side
    11,287.84x = 120,532,174.82
  5. Step 5: Solve for x
    x = 120,532,174.82/11,287.84
  6. Step 6: Final answer
    x = 10,678.05

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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.