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Finding the Fourth Proportional to 10,052.78, 13,872.21 and 6,071.54

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Solution

The fourth proportional to 10,052.78, 13,872.21 and 6,071.54 is: 8,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.78 : 13,872.21 = 6,071.54 : x
  2. Step 2: Convert to fraction form
    10,052.78/13,872.21 = 6,071.54/x
  3. Step 3: Cross multiply
    10,052.78x = 13,872.21 × 6,071.54
  4. Step 4: Simplify right side
    10,052.78x = 84,225,677.90
  5. Step 5: Solve for x
    x = 84,225,677.90/10,052.78
  6. Step 6: Final answer
    x = 8,378.35

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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.