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Finding the Fourth Proportional to 12,778.08, 17,628.96 and 7,471.20

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Solution

The fourth proportional to 12,778.08, 17,628.96 and 7,471.20 is: 10,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.08 : 17,628.96 = 7,471.20 : x
  2. Step 2: Convert to fraction form
    12,778.08/17,628.96 = 7,471.20/x
  3. Step 3: Cross multiply
    12,778.08x = 17,628.96 × 7,471.20
  4. Step 4: Simplify right side
    12,778.08x = 131,709,485.95
  5. Step 5: Solve for x
    x = 131,709,485.95/12,778.08
  6. Step 6: Final answer
    x = 10,307.46

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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.