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Finding the Fourth Proportional to 10,888.85, 16,316.90 and 8,102.45

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Solution

The fourth proportional to 10,888.85, 16,316.90 and 8,102.45 is: 12,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888.85 : 16,316.90 = 8,102.45 : x
  2. Step 2: Convert to fraction form
    10,888.85/16,316.90 = 8,102.45/x
  3. Step 3: Cross multiply
    10,888.85x = 16,316.90 × 8,102.45
  4. Step 4: Simplify right side
    10,888.85x = 132,206,825.89
  5. Step 5: Solve for x
    x = 132,206,825.89/10,888.85
  6. Step 6: Final answer
    x = 12,141.49

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Why These Related Problems?

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