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Finding the Fourth Proportional to 7,855.12, 10,840.25 and 4,318.40

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Solution

The fourth proportional to 7,855.12, 10,840.25 and 4,318.40 is: 5,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.12 : 10,840.25 = 4,318.40 : x
  2. Step 2: Convert to fraction form
    7,855.12/10,840.25 = 4,318.40/x
  3. Step 3: Cross multiply
    7,855.12x = 10,840.25 × 4,318.40
  4. Step 4: Simplify right side
    7,855.12x = 46,812,514.01
  5. Step 5: Solve for x
    x = 46,812,514.01/7,855.12
  6. Step 6: Final answer
    x = 5,959.49

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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.