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Finding the Fourth Proportional to 10,015.62, 13,827.18 and 6,663

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Solution

The fourth proportional to 10,015.62, 13,827.18 and 6,663 is: 9,198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.62 : 13,827.18 = 6,663 : x
  2. Step 2: Convert to fraction form
    10,015.62/13,827.18 = 6,663/x
  3. Step 3: Cross multiply
    10,015.62x = 13,827.18 × 6,663
  4. Step 4: Simplify right side
    10,015.62x = 92,130,500.34
  5. Step 5: Solve for x
    x = 92,130,500.34/10,015.62
  6. Step 6: Final answer
    x = 9,198.68

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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.