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Finding the Fourth Proportional to 8,836, 12,193.68 and 5,110.24

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Solution

The fourth proportional to 8,836, 12,193.68 and 5,110.24 is: 7,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,836 : 12,193.68 = 5,110.24 : x
  2. Step 2: Convert to fraction form
    8,836/12,193.68 = 5,110.24/x
  3. Step 3: Cross multiply
    8,836x = 12,193.68 × 5,110.24
  4. Step 4: Simplify right side
    8,836x = 62,312,631.28
  5. Step 5: Solve for x
    x = 62,312,631.28/8,836
  6. Step 6: Final answer
    x = 7,052.13

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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.