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Finding the Fourth Proportional to 8,102.10, 11,180.49 and 4,565.52

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Solution

The fourth proportional to 8,102.10, 11,180.49 and 4,565.52 is: 6,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.10 : 11,180.49 = 4,565.52 : x
  2. Step 2: Convert to fraction form
    8,102.10/11,180.49 = 4,565.52/x
  3. Step 3: Cross multiply
    8,102.10x = 11,180.49 × 4,565.52
  4. Step 4: Simplify right side
    8,102.10x = 51,044,750.70
  5. Step 5: Solve for x
    x = 51,044,750.70/8,102.10
  6. Step 6: Final answer
    x = 6,300.19

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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.