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Finding the Fourth Proportional to 12,795.36, 17,656.92 and 7,206

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Solution

The fourth proportional to 12,795.36, 17,656.92 and 7,206 is: 9,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.36 : 17,656.92 = 7,206 : x
  2. Step 2: Convert to fraction form
    12,795.36/17,656.92 = 7,206/x
  3. Step 3: Cross multiply
    12,795.36x = 17,656.92 × 7,206
  4. Step 4: Simplify right side
    12,795.36x = 127,235,765.52
  5. Step 5: Solve for x
    x = 127,235,765.52/12,795.36
  6. Step 6: Final answer
    x = 9,943.90

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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.