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Finding the Fourth Proportional to 11,617.22, 16,031.93 and 6,312.12

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Solution

The fourth proportional to 11,617.22, 16,031.93 and 6,312.12 is: 8,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.22 : 16,031.93 = 6,312.12 : x
  2. Step 2: Convert to fraction form
    11,617.22/16,031.93 = 6,312.12/x
  3. Step 3: Cross multiply
    11,617.22x = 16,031.93 × 6,312.12
  4. Step 4: Simplify right side
    11,617.22x = 101,195,434.43
  5. Step 5: Solve for x
    x = 101,195,434.43/11,617.22
  6. Step 6: Final answer
    x = 8,710.82

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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.