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Finding the Fourth Proportional to 7,107.89, 9,807.69 and 4,123.65

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Solution

The fourth proportional to 7,107.89, 9,807.69 and 4,123.65 is: 5,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.89 : 9,807.69 = 4,123.65 : x
  2. Step 2: Convert to fraction form
    7,107.89/9,807.69 = 4,123.65/x
  3. Step 3: Cross multiply
    7,107.89x = 9,807.69 × 4,123.65
  4. Step 4: Simplify right side
    7,107.89x = 40,443,480.87
  5. Step 5: Solve for x
    x = 40,443,480.87/7,107.89
  6. Step 6: Final answer
    x = 5,689.95

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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.