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Finding the Fourth Proportional to 7,657.61, 11,486.39 and 2,463.48

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Solution

The fourth proportional to 7,657.61, 11,486.39 and 2,463.48 is: 3,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.61 : 11,486.39 = 2,463.48 : x
  2. Step 2: Convert to fraction form
    7,657.61/11,486.39 = 2,463.48/x
  3. Step 3: Cross multiply
    7,657.61x = 11,486.39 × 2,463.48
  4. Step 4: Simplify right side
    7,657.61x = 28,296,479.72
  5. Step 5: Solve for x
    x = 28,296,479.72/7,657.61
  6. Step 6: Final answer
    x = 3,695.21

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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.