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Finding the Fourth Proportional to 10,808.16, 16,192.80 and 10,050

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Solution

The fourth proportional to 10,808.16, 16,192.80 and 10,050 is: 15,056.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.16 : 16,192.80 = 10,050 : x
  2. Step 2: Convert to fraction form
    10,808.16/16,192.80 = 10,050/x
  3. Step 3: Cross multiply
    10,808.16x = 16,192.80 × 10,050
  4. Step 4: Simplify right side
    10,808.16x = 162,737,640
  5. Step 5: Solve for x
    x = 162,737,640/10,808.16
  6. Step 6: Final answer
    x = 15,056.92

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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.