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Finding the Fourth Proportional to 8,902.12, 13,348.62 and 5,205.16

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Solution

The fourth proportional to 8,902.12, 13,348.62 and 5,205.16 is: 7,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.12 : 13,348.62 = 5,205.16 : x
  2. Step 2: Convert to fraction form
    8,902.12/13,348.62 = 5,205.16/x
  3. Step 3: Cross multiply
    8,902.12x = 13,348.62 × 5,205.16
  4. Step 4: Simplify right side
    8,902.12x = 69,481,702.88
  5. Step 5: Solve for x
    x = 69,481,702.88/8,902.12
  6. Step 6: Final answer
    x = 7,805.07

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