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Finding the Fourth Proportional to 8,828, 12,184.84 and 5,104.16

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Solution

The fourth proportional to 8,828, 12,184.84 and 5,104.16 is: 7,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828 : 12,184.84 = 5,104.16 : x
  2. Step 2: Convert to fraction form
    8,828/12,184.84 = 5,104.16/x
  3. Step 3: Cross multiply
    8,828x = 12,184.84 × 5,104.16
  4. Step 4: Simplify right side
    8,828x = 62,193,372.93
  5. Step 5: Solve for x
    x = 62,193,372.93/8,828
  6. Step 6: Final answer
    x = 7,045.01

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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.