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Finding the Fourth Proportional to 10,494.81, 14,479.32 and 7,131.81

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Solution

The fourth proportional to 10,494.81, 14,479.32 and 7,131.81 is: 9,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.81 : 14,479.32 = 7,131.81 : x
  2. Step 2: Convert to fraction form
    10,494.81/14,479.32 = 7,131.81/x
  3. Step 3: Cross multiply
    10,494.81x = 14,479.32 × 7,131.81
  4. Step 4: Simplify right side
    10,494.81x = 103,263,759.17
  5. Step 5: Solve for x
    x = 103,263,759.17/10,494.81
  6. Step 6: Final answer
    x = 9,839.51

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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.