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Finding the Fourth Proportional to 7,867.66, 10,857.29 and 4,330.80

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Solution

The fourth proportional to 7,867.66, 10,857.29 and 4,330.80 is: 5,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.66 : 10,857.29 = 4,330.80 : x
  2. Step 2: Convert to fraction form
    7,867.66/10,857.29 = 4,330.80/x
  3. Step 3: Cross multiply
    7,867.66x = 10,857.29 × 4,330.80
  4. Step 4: Simplify right side
    7,867.66x = 47,020,675.59
  5. Step 5: Solve for x
    x = 47,020,675.59/7,867.66
  6. Step 6: Final answer
    x = 5,976.45

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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.