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Finding the Fourth Proportional to 7,761.60, 11,643.76 and 2,838.16

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Solution

The fourth proportional to 7,761.60, 11,643.76 and 2,838.16 is: 4,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.60 : 11,643.76 = 2,838.16 : x
  2. Step 2: Convert to fraction form
    7,761.60/11,643.76 = 2,838.16/x
  3. Step 3: Cross multiply
    7,761.60x = 11,643.76 × 2,838.16
  4. Step 4: Simplify right side
    7,761.60x = 33,046,853.88
  5. Step 5: Solve for x
    x = 33,046,853.88/7,761.60
  6. Step 6: Final answer
    x = 4,257.74

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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.