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Finding the Fourth Proportional to 7,204.14, 10,807.16 and 3,505.88

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Solution

The fourth proportional to 7,204.14, 10,807.16 and 3,505.88 is: 5,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.14 : 10,807.16 = 3,505.88 : x
  2. Step 2: Convert to fraction form
    7,204.14/10,807.16 = 3,505.88/x
  3. Step 3: Cross multiply
    7,204.14x = 10,807.16 × 3,505.88
  4. Step 4: Simplify right side
    7,204.14x = 37,888,615.59
  5. Step 5: Solve for x
    x = 37,888,615.59/7,204.14
  6. Step 6: Final answer
    x = 5,259.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.