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Finding the Fourth Proportional to 7,817.83, 10,789.32 and 4,281.55

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Solution

The fourth proportional to 7,817.83, 10,789.32 and 4,281.55 is: 5,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.83 : 10,789.32 = 4,281.55 : x
  2. Step 2: Convert to fraction form
    7,817.83/10,789.32 = 4,281.55/x
  3. Step 3: Cross multiply
    7,817.83x = 10,789.32 × 4,281.55
  4. Step 4: Simplify right side
    7,817.83x = 46,195,013.05
  5. Step 5: Solve for x
    x = 46,195,013.05/7,817.83
  6. Step 6: Final answer
    x = 5,908.93

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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.