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Finding the Fourth Proportional to 7,867.60, 10,857.12 and 4,330.60

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Solution

The fourth proportional to 7,867.60, 10,857.12 and 4,330.60 is: 5,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.60 : 10,857.12 = 4,330.60 : x
  2. Step 2: Convert to fraction form
    7,867.60/10,857.12 = 4,330.60/x
  3. Step 3: Cross multiply
    7,867.60x = 10,857.12 × 4,330.60
  4. Step 4: Simplify right side
    7,867.60x = 47,017,843.87
  5. Step 5: Solve for x
    x = 47,017,843.87/7,867.60
  6. Step 6: Final answer
    x = 5,976.14

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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.