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Finding the Fourth Proportional to 8,288.64, 11,440.20 and 5,642.40

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Solution

The fourth proportional to 8,288.64, 11,440.20 and 5,642.40 is: 7,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.64 : 11,440.20 = 5,642.40 : x
  2. Step 2: Convert to fraction form
    8,288.64/11,440.20 = 5,642.40/x
  3. Step 3: Cross multiply
    8,288.64x = 11,440.20 × 5,642.40
  4. Step 4: Simplify right side
    8,288.64x = 64,550,184.48
  5. Step 5: Solve for x
    x = 64,550,184.48/8,288.64
  6. Step 6: Final answer
    x = 7,787.79

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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.