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Finding the Fourth Proportional to 8,176.55, 11,283.71 and 5,032.13

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Solution

The fourth proportional to 8,176.55, 11,283.71 and 5,032.13 is: 6,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.55 : 11,283.71 = 5,032.13 : x
  2. Step 2: Convert to fraction form
    8,176.55/11,283.71 = 5,032.13/x
  3. Step 3: Cross multiply
    8,176.55x = 11,283.71 × 5,032.13
  4. Step 4: Simplify right side
    8,176.55x = 56,781,014.02
  5. Step 5: Solve for x
    x = 56,781,014.02/8,176.55
  6. Step 6: Final answer
    x = 6,944.38

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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.