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Finding the Fourth Proportional to 8,507.16, 11,731.50 and 5,362.20

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Solution

The fourth proportional to 8,507.16, 11,731.50 and 5,362.20 is: 7,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.16 : 11,731.50 = 5,362.20 : x
  2. Step 2: Convert to fraction form
    8,507.16/11,731.50 = 5,362.20/x
  3. Step 3: Cross multiply
    8,507.16x = 11,731.50 × 5,362.20
  4. Step 4: Simplify right side
    8,507.16x = 62,906,649.30
  5. Step 5: Solve for x
    x = 62,906,649.30/8,507.16
  6. Step 6: Final answer
    x = 7,394.55

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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.