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Finding the Fourth Proportional to 10,902.30, 16,339.05 and 8,107.08

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Solution

The fourth proportional to 10,902.30, 16,339.05 and 8,107.08 is: 12,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.30 : 16,339.05 = 8,107.08 : x
  2. Step 2: Convert to fraction form
    10,902.30/16,339.05 = 8,107.08/x
  3. Step 3: Cross multiply
    10,902.30x = 16,339.05 × 8,107.08
  4. Step 4: Simplify right side
    10,902.30x = 132,461,985.47
  5. Step 5: Solve for x
    x = 132,461,985.47/10,902.30
  6. Step 6: Final answer
    x = 12,149.91

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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.