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Finding the Fourth Proportional to 7,774.28, 11,650.46 and 5,578.16

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Solution

The fourth proportional to 7,774.28, 11,650.46 and 5,578.16 is: 8,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.28 : 11,650.46 = 5,578.16 : x
  2. Step 2: Convert to fraction form
    7,774.28/11,650.46 = 5,578.16/x
  3. Step 3: Cross multiply
    7,774.28x = 11,650.46 × 5,578.16
  4. Step 4: Simplify right side
    7,774.28x = 64,988,129.95
  5. Step 5: Solve for x
    x = 64,988,129.95/7,774.28
  6. Step 6: Final answer
    x = 8,359.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.