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Finding the Fourth Proportional to 8,833, 12,191.16 and 5,107

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Solution

The fourth proportional to 8,833, 12,191.16 and 5,107 is: 7,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833 : 12,191.16 = 5,107 : x
  2. Step 2: Convert to fraction form
    8,833/12,191.16 = 5,107/x
  3. Step 3: Cross multiply
    8,833x = 12,191.16 × 5,107
  4. Step 4: Simplify right side
    8,833x = 62,260,254.12
  5. Step 5: Solve for x
    x = 62,260,254.12/8,833
  6. Step 6: Final answer
    x = 7,048.60

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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.