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Finding the Fourth Proportional to 11,612.58, 16,025.24 and 6,307.38

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Solution

The fourth proportional to 11,612.58, 16,025.24 and 6,307.38 is: 8,704.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.58 : 16,025.24 = 6,307.38 : x
  2. Step 2: Convert to fraction form
    11,612.58/16,025.24 = 6,307.38/x
  3. Step 3: Cross multiply
    11,612.58x = 16,025.24 × 6,307.38
  4. Step 4: Simplify right side
    11,612.58x = 101,077,278.27
  5. Step 5: Solve for x
    x = 101,077,278.27/11,612.58
  6. Step 6: Final answer
    x = 8,704.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.