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Finding the Fourth Proportional to 7,867.68, 10,857.40 and 4,330.82

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Solution

The fourth proportional to 7,867.68, 10,857.40 and 4,330.82 is: 5,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.68 : 10,857.40 = 4,330.82 : x
  2. Step 2: Convert to fraction form
    7,867.68/10,857.40 = 4,330.82/x
  3. Step 3: Cross multiply
    7,867.68x = 10,857.40 × 4,330.82
  4. Step 4: Simplify right side
    7,867.68x = 47,021,445.07
  5. Step 5: Solve for x
    x = 47,021,445.07/7,867.68
  6. Step 6: Final answer
    x = 5,976.53

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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.