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Finding the Fourth Proportional to 7,902.18, 10,895.76 and 5,385.78

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Solution

The fourth proportional to 7,902.18, 10,895.76 and 5,385.78 is: 7,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.18 : 10,895.76 = 5,385.78 : x
  2. Step 2: Convert to fraction form
    7,902.18/10,895.76 = 5,385.78/x
  3. Step 3: Cross multiply
    7,902.18x = 10,895.76 × 5,385.78
  4. Step 4: Simplify right side
    7,902.18x = 58,682,166.29
  5. Step 5: Solve for x
    x = 58,682,166.29/7,902.18
  6. Step 6: Final answer
    x = 7,426.07

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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.