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Finding the Fourth Proportional to 7,869.07, 10,859.10 and 4,466.71

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Solution

The fourth proportional to 7,869.07, 10,859.10 and 4,466.71 is: 6,163.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.07 : 10,859.10 = 4,466.71 : x
  2. Step 2: Convert to fraction form
    7,869.07/10,859.10 = 4,466.71/x
  3. Step 3: Cross multiply
    7,869.07x = 10,859.10 × 4,466.71
  4. Step 4: Simplify right side
    7,869.07x = 48,504,406.66
  5. Step 5: Solve for x
    x = 48,504,406.66/7,869.07
  6. Step 6: Final answer
    x = 6,163.93

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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.