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Finding the Fourth Proportional to 11,617.45, 16,032.42 and 6,312.60

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Solution

The fourth proportional to 11,617.45, 16,032.42 and 6,312.60 is: 8,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.45 : 16,032.42 = 6,312.60 : x
  2. Step 2: Convert to fraction form
    11,617.45/16,032.42 = 6,312.60/x
  3. Step 3: Cross multiply
    11,617.45x = 16,032.42 × 6,312.60
  4. Step 4: Simplify right side
    11,617.45x = 101,206,254.49
  5. Step 5: Solve for x
    x = 101,206,254.49/11,617.45
  6. Step 6: Final answer
    x = 8,711.57

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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.