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Finding the Fourth Proportional to 10,060.71, 13,883.87 and 6,084.48

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Solution

The fourth proportional to 10,060.71, 13,883.87 and 6,084.48 is: 8,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,060.71 : 13,883.87 = 6,084.48 : x
  2. Step 2: Convert to fraction form
    10,060.71/13,883.87 = 6,084.48/x
  3. Step 3: Cross multiply
    10,060.71x = 13,883.87 × 6,084.48
  4. Step 4: Simplify right side
    10,060.71x = 84,476,129.34
  5. Step 5: Solve for x
    x = 84,476,129.34/10,060.71
  6. Step 6: Final answer
    x = 8,396.64

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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.