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Finding the Fourth Proportional to 7,940.71, 10,953.14 and 5,103.20

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Solution

The fourth proportional to 7,940.71, 10,953.14 and 5,103.20 is: 7,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.71 : 10,953.14 = 5,103.20 : x
  2. Step 2: Convert to fraction form
    7,940.71/10,953.14 = 5,103.20/x
  3. Step 3: Cross multiply
    7,940.71x = 10,953.14 × 5,103.20
  4. Step 4: Simplify right side
    7,940.71x = 55,896,064.05
  5. Step 5: Solve for x
    x = 55,896,064.05/7,940.71
  6. Step 6: Final answer
    x = 7,039.18

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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.