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Finding the Fourth Proportional to 10,656.33, 14,707.56 and 6,181.48

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Solution

The fourth proportional to 10,656.33, 14,707.56 and 6,181.48 is: 8,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.33 : 14,707.56 = 6,181.48 : x
  2. Step 2: Convert to fraction form
    10,656.33/14,707.56 = 6,181.48/x
  3. Step 3: Cross multiply
    10,656.33x = 14,707.56 × 6,181.48
  4. Step 4: Simplify right side
    10,656.33x = 90,914,487.99
  5. Step 5: Solve for x
    x = 90,914,487.99/10,656.33
  6. Step 6: Final answer
    x = 8,531.50

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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.