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Finding the Fourth Proportional to 7,068.33, 10,602.54 and 3,171.78

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Solution

The fourth proportional to 7,068.33, 10,602.54 and 3,171.78 is: 4,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.33 : 10,602.54 = 3,171.78 : x
  2. Step 2: Convert to fraction form
    7,068.33/10,602.54 = 3,171.78/x
  3. Step 3: Cross multiply
    7,068.33x = 10,602.54 × 3,171.78
  4. Step 4: Simplify right side
    7,068.33x = 33,628,924.32
  5. Step 5: Solve for x
    x = 33,628,924.32/7,068.33
  6. Step 6: Final answer
    x = 4,757.69

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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.