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Finding the Fourth Proportional to 8,385.57, 11,576.66 and 5,875.38

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Solution

The fourth proportional to 8,385.57, 11,576.66 and 5,875.38 is: 8,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.57 : 11,576.66 = 5,875.38 : x
  2. Step 2: Convert to fraction form
    8,385.57/11,576.66 = 5,875.38/x
  3. Step 3: Cross multiply
    8,385.57x = 11,576.66 × 5,875.38
  4. Step 4: Simplify right side
    8,385.57x = 68,017,247.25
  5. Step 5: Solve for x
    x = 68,017,247.25/8,385.57
  6. Step 6: Final answer
    x = 8,111.23

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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.