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Finding the Fourth Proportional to 10,063.70, 13,885.40 and 6,031.16

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Solution

The fourth proportional to 10,063.70, 13,885.40 and 6,031.16 is: 8,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.70 : 13,885.40 = 6,031.16 : x
  2. Step 2: Convert to fraction form
    10,063.70/13,885.40 = 6,031.16/x
  3. Step 3: Cross multiply
    10,063.70x = 13,885.40 × 6,031.16
  4. Step 4: Simplify right side
    10,063.70x = 83,745,110.97
  5. Step 5: Solve for x
    x = 83,745,110.97/10,063.70
  6. Step 6: Final answer
    x = 8,321.50

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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.