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Finding the Fourth Proportional to 7,877.49, 10,870.90 and 4,292.66

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Solution

The fourth proportional to 7,877.49, 10,870.90 and 4,292.66 is: 5,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.49 : 10,870.90 = 4,292.66 : x
  2. Step 2: Convert to fraction form
    7,877.49/10,870.90 = 4,292.66/x
  3. Step 3: Cross multiply
    7,877.49x = 10,870.90 × 4,292.66
  4. Step 4: Simplify right side
    7,877.49x = 46,665,077.59
  5. Step 5: Solve for x
    x = 46,665,077.59/7,877.49
  6. Step 6: Final answer
    x = 5,923.85

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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.