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Finding the Fourth Proportional to 7,868.19, 10,857.69 and 4,330.71

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Solution

The fourth proportional to 7,868.19, 10,857.69 and 4,330.71 is: 5,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.19 : 10,857.69 = 4,330.71 : x
  2. Step 2: Convert to fraction form
    7,868.19/10,857.69 = 4,330.71/x
  3. Step 3: Cross multiply
    7,868.19x = 10,857.69 × 4,330.71
  4. Step 4: Simplify right side
    7,868.19x = 47,021,506.66
  5. Step 5: Solve for x
    x = 47,021,506.66/7,868.19
  6. Step 6: Final answer
    x = 5,976.15

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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.