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Finding the Fourth Proportional to 7,855.18, 10,839.10 and 4,869.93

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Solution

The fourth proportional to 7,855.18, 10,839.10 and 4,869.93 is: 6,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.18 : 10,839.10 = 4,869.93 : x
  2. Step 2: Convert to fraction form
    7,855.18/10,839.10 = 4,869.93/x
  3. Step 3: Cross multiply
    7,855.18x = 10,839.10 × 4,869.93
  4. Step 4: Simplify right side
    7,855.18x = 52,785,658.26
  5. Step 5: Solve for x
    x = 52,785,658.26/7,855.18
  6. Step 6: Final answer
    x = 6,719.85

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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.