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Finding the Fourth Proportional to 10,893.16, 15,032.64 and 6,177.34

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Solution

The fourth proportional to 10,893.16, 15,032.64 and 6,177.34 is: 8,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.16 : 15,032.64 = 6,177.34 : x
  2. Step 2: Convert to fraction form
    10,893.16/15,032.64 = 6,177.34/x
  3. Step 3: Cross multiply
    10,893.16x = 15,032.64 × 6,177.34
  4. Step 4: Simplify right side
    10,893.16x = 92,861,728.38
  5. Step 5: Solve for x
    x = 92,861,728.38/10,893.16
  6. Step 6: Final answer
    x = 8,524.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.