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Finding the Fourth Proportional to 7,698.52, 11,487.31 and 7,228.31

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Solution

The fourth proportional to 7,698.52, 11,487.31 and 7,228.31 is: 10,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.52 : 11,487.31 = 7,228.31 : x
  2. Step 2: Convert to fraction form
    7,698.52/11,487.31 = 7,228.31/x
  3. Step 3: Cross multiply
    7,698.52x = 11,487.31 × 7,228.31
  4. Step 4: Simplify right side
    7,698.52x = 83,033,837.75
  5. Step 5: Solve for x
    x = 83,033,837.75/7,698.52
  6. Step 6: Final answer
    x = 10,785.70

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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.