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Finding the Fourth Proportional to 10,381.77, 14,290.79 and 7,859.43

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Solution

The fourth proportional to 10,381.77, 14,290.79 and 7,859.43 is: 10,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.77 : 14,290.79 = 7,859.43 : x
  2. Step 2: Convert to fraction form
    10,381.77/14,290.79 = 7,859.43/x
  3. Step 3: Cross multiply
    10,381.77x = 14,290.79 × 7,859.43
  4. Step 4: Simplify right side
    10,381.77x = 112,317,424.35
  5. Step 5: Solve for x
    x = 112,317,424.35/10,381.77
  6. Step 6: Final answer
    x = 10,818.72

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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.