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Finding the Fourth Proportional to 8,243.17, 12,364.75 and 4,088.32

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Solution

The fourth proportional to 8,243.17, 12,364.75 and 4,088.32 is: 6,132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.17 : 12,364.75 = 4,088.32 : x
  2. Step 2: Convert to fraction form
    8,243.17/12,364.75 = 4,088.32/x
  3. Step 3: Cross multiply
    8,243.17x = 12,364.75 × 4,088.32
  4. Step 4: Simplify right side
    8,243.17x = 50,551,098.47
  5. Step 5: Solve for x
    x = 50,551,098.47/8,243.17
  6. Step 6: Final answer
    x = 6,132.48

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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.