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Finding the Fourth Proportional to 6,905.52, 10,285.56 and 6,761.52

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Solution

The fourth proportional to 6,905.52, 10,285.56 and 6,761.52 is: 10,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.52 : 10,285.56 = 6,761.52 : x
  2. Step 2: Convert to fraction form
    6,905.52/10,285.56 = 6,761.52/x
  3. Step 3: Cross multiply
    6,905.52x = 10,285.56 × 6,761.52
  4. Step 4: Simplify right side
    6,905.52x = 69,546,019.65
  5. Step 5: Solve for x
    x = 69,546,019.65/6,905.52
  6. Step 6: Final answer
    x = 10,071.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.