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Finding the Fourth Proportional to 8,633.46, 11,916.36 and 5,097.78

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Solution

The fourth proportional to 8,633.46, 11,916.36 and 5,097.78 is: 7,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.46 : 11,916.36 = 5,097.78 : x
  2. Step 2: Convert to fraction form
    8,633.46/11,916.36 = 5,097.78/x
  3. Step 3: Cross multiply
    8,633.46x = 11,916.36 × 5,097.78
  4. Step 4: Simplify right side
    8,633.46x = 60,746,981.68
  5. Step 5: Solve for x
    x = 60,746,981.68/8,633.46
  6. Step 6: Final answer
    x = 7,036.23

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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.