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Finding the Fourth Proportional to 8,276.24, 12,411.12 and 3,656

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Solution

The fourth proportional to 8,276.24, 12,411.12 and 3,656 is: 5,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.24 : 12,411.12 = 3,656 : x
  2. Step 2: Convert to fraction form
    8,276.24/12,411.12 = 3,656/x
  3. Step 3: Cross multiply
    8,276.24x = 12,411.12 × 3,656
  4. Step 4: Simplify right side
    8,276.24x = 45,375,054.72
  5. Step 5: Solve for x
    x = 45,375,054.72/8,276.24
  6. Step 6: Final answer
    x = 5,482.57

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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.