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Finding the Fourth Proportional to 11,617.78, 16,032.26 and 6,312.46

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Solution

The fourth proportional to 11,617.78, 16,032.26 and 6,312.46 is: 8,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.78 : 16,032.26 = 6,312.46 : x
  2. Step 2: Convert to fraction form
    11,617.78/16,032.26 = 6,312.46/x
  3. Step 3: Cross multiply
    11,617.78x = 16,032.26 × 6,312.46
  4. Step 4: Simplify right side
    11,617.78x = 101,202,999.96
  5. Step 5: Solve for x
    x = 101,202,999.96/11,617.78
  6. Step 6: Final answer
    x = 8,711.04

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