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Finding the Fourth Proportional to 8,696.17, 12,002.61 and 5,340.75

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Solution

The fourth proportional to 8,696.17, 12,002.61 and 5,340.75 is: 7,371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.17 : 12,002.61 = 5,340.75 : x
  2. Step 2: Convert to fraction form
    8,696.17/12,002.61 = 5,340.75/x
  3. Step 3: Cross multiply
    8,696.17x = 12,002.61 × 5,340.75
  4. Step 4: Simplify right side
    8,696.17x = 64,102,939.36
  5. Step 5: Solve for x
    x = 64,102,939.36/8,696.17
  6. Step 6: Final answer
    x = 7,371.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.