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Finding the Fourth Proportional to 7,852.02, 10,839.06 and 5,614.80

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Solution

The fourth proportional to 7,852.02, 10,839.06 and 5,614.80 is: 7,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.02 : 10,839.06 = 5,614.80 : x
  2. Step 2: Convert to fraction form
    7,852.02/10,839.06 = 5,614.80/x
  3. Step 3: Cross multiply
    7,852.02x = 10,839.06 × 5,614.80
  4. Step 4: Simplify right side
    7,852.02x = 60,859,154.09
  5. Step 5: Solve for x
    x = 60,859,154.09/7,852.02
  6. Step 6: Final answer
    x = 7,750.76

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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.