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Finding the Fourth Proportional to 12,794.52, 17,657.52 and 7,206.60

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Solution

The fourth proportional to 12,794.52, 17,657.52 and 7,206.60 is: 9,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.52 : 17,657.52 = 7,206.60 : x
  2. Step 2: Convert to fraction form
    12,794.52/17,657.52 = 7,206.60/x
  3. Step 3: Cross multiply
    12,794.52x = 17,657.52 × 7,206.60
  4. Step 4: Simplify right side
    12,794.52x = 127,250,683.63
  5. Step 5: Solve for x
    x = 127,250,683.63/12,794.52
  6. Step 6: Final answer
    x = 9,945.72

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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.