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Finding the Fourth Proportional to 7,801.38, 11,704.19 and 4,102.70

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Solution

The fourth proportional to 7,801.38, 11,704.19 and 4,102.70 is: 6,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.38 : 11,704.19 = 4,102.70 : x
  2. Step 2: Convert to fraction form
    7,801.38/11,704.19 = 4,102.70/x
  3. Step 3: Cross multiply
    7,801.38x = 11,704.19 × 4,102.70
  4. Step 4: Simplify right side
    7,801.38x = 48,018,701.28
  5. Step 5: Solve for x
    x = 48,018,701.28/7,801.38
  6. Step 6: Final answer
    x = 6,155.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.