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Finding the Fourth Proportional to 10,102.10, 15,149.91 and 8,806.10

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Solution

The fourth proportional to 10,102.10, 15,149.91 and 8,806.10 is: 13,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.10 : 15,149.91 = 8,806.10 : x
  2. Step 2: Convert to fraction form
    10,102.10/15,149.91 = 8,806.10/x
  3. Step 3: Cross multiply
    10,102.10x = 15,149.91 × 8,806.10
  4. Step 4: Simplify right side
    10,102.10x = 133,411,622.45
  5. Step 5: Solve for x
    x = 133,411,622.45/10,102.10
  6. Step 6: Final answer
    x = 13,206.33

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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.