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Finding the Fourth Proportional to 7,156.70, 9,876.50 and 4,172.05

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Solution

The fourth proportional to 7,156.70, 9,876.50 and 4,172.05 is: 5,757.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.70 : 9,876.50 = 4,172.05 : x
  2. Step 2: Convert to fraction form
    7,156.70/9,876.50 = 4,172.05/x
  3. Step 3: Cross multiply
    7,156.70x = 9,876.50 × 4,172.05
  4. Step 4: Simplify right side
    7,156.70x = 41,205,251.83
  5. Step 5: Solve for x
    x = 41,205,251.83/7,156.70
  6. Step 6: Final answer
    x = 5,757.58

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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.