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Finding the Fourth Proportional to 7,568.64, 11,363.76 and 5,490.99

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Solution

The fourth proportional to 7,568.64, 11,363.76 and 5,490.99 is: 8,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.64 : 11,363.76 = 5,490.99 : x
  2. Step 2: Convert to fraction form
    7,568.64/11,363.76 = 5,490.99/x
  3. Step 3: Cross multiply
    7,568.64x = 11,363.76 × 5,490.99
  4. Step 4: Simplify right side
    7,568.64x = 62,398,292.52
  5. Step 5: Solve for x
    x = 62,398,292.52/7,568.64
  6. Step 6: Final answer
    x = 8,244.32

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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.