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Finding the Fourth Proportional to 7,900.29, 10,902.06 and 4,542.84

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Solution

The fourth proportional to 7,900.29, 10,902.06 and 4,542.84 is: 6,268.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.29 : 10,902.06 = 4,542.84 : x
  2. Step 2: Convert to fraction form
    7,900.29/10,902.06 = 4,542.84/x
  3. Step 3: Cross multiply
    7,900.29x = 10,902.06 × 4,542.84
  4. Step 4: Simplify right side
    7,900.29x = 49,526,314.25
  5. Step 5: Solve for x
    x = 49,526,314.25/7,900.29
  6. Step 6: Final answer
    x = 6,268.92

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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.