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Finding the Fourth Proportional to 11,468.57, 17,182.92 and 6,207.20

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Solution

The fourth proportional to 11,468.57, 17,182.92 and 6,207.20 is: 9,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.57 : 17,182.92 = 6,207.20 : x
  2. Step 2: Convert to fraction form
    11,468.57/17,182.92 = 6,207.20/x
  3. Step 3: Cross multiply
    11,468.57x = 17,182.92 × 6,207.20
  4. Step 4: Simplify right side
    11,468.57x = 106,657,822.82
  5. Step 5: Solve for x
    x = 106,657,822.82/11,468.57
  6. Step 6: Final answer
    x = 9,300.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.