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Finding the Fourth Proportional to 7,855.02, 10,840.50 and 4,318.38

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Solution

The fourth proportional to 7,855.02, 10,840.50 and 4,318.38 is: 5,959.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.02 : 10,840.50 = 4,318.38 : x
  2. Step 2: Convert to fraction form
    7,855.02/10,840.50 = 4,318.38/x
  3. Step 3: Cross multiply
    7,855.02x = 10,840.50 × 4,318.38
  4. Step 4: Simplify right side
    7,855.02x = 46,813,398.39
  5. Step 5: Solve for x
    x = 46,813,398.39/7,855.02
  6. Step 6: Final answer
    x = 5,959.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.