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Finding the Fourth Proportional to 7,867.82, 10,857.08 and 4,330.35

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Solution

The fourth proportional to 7,867.82, 10,857.08 and 4,330.35 is: 5,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.82 : 10,857.08 = 4,330.35 : x
  2. Step 2: Convert to fraction form
    7,867.82/10,857.08 = 4,330.35/x
  3. Step 3: Cross multiply
    7,867.82x = 10,857.08 × 4,330.35
  4. Step 4: Simplify right side
    7,867.82x = 47,014,934.73
  5. Step 5: Solve for x
    x = 47,014,934.73/7,867.82
  6. Step 6: Final answer
    x = 5,975.60

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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.