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Finding the Fourth Proportional to 11,617.43, 16,031.64 and 6,312.14

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Solution

The fourth proportional to 11,617.43, 16,031.64 and 6,312.14 is: 8,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.43 : 16,031.64 = 6,312.14 : x
  2. Step 2: Convert to fraction form
    11,617.43/16,031.64 = 6,312.14/x
  3. Step 3: Cross multiply
    11,617.43x = 16,031.64 × 6,312.14
  4. Step 4: Simplify right side
    11,617.43x = 101,193,956.11
  5. Step 5: Solve for x
    x = 101,193,956.11/11,617.43
  6. Step 6: Final answer
    x = 8,710.53

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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.