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Finding the Fourth Proportional to 8,696.16, 13,044.24 and 5,616

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Solution

The fourth proportional to 8,696.16, 13,044.24 and 5,616 is: 8,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.16 : 13,044.24 = 5,616 : x
  2. Step 2: Convert to fraction form
    8,696.16/13,044.24 = 5,616/x
  3. Step 3: Cross multiply
    8,696.16x = 13,044.24 × 5,616
  4. Step 4: Simplify right side
    8,696.16x = 73,256,451.84
  5. Step 5: Solve for x
    x = 73,256,451.84/8,696.16
  6. Step 6: Final answer
    x = 8,424

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.