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Finding the Fourth Proportional to 8,338.08, 11,506.72 and 4,612.08

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Solution

The fourth proportional to 8,338.08, 11,506.72 and 4,612.08 is: 6,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.08 : 11,506.72 = 4,612.08 : x
  2. Step 2: Convert to fraction form
    8,338.08/11,506.72 = 4,612.08/x
  3. Step 3: Cross multiply
    8,338.08x = 11,506.72 × 4,612.08
  4. Step 4: Simplify right side
    8,338.08x = 53,069,913.18
  5. Step 5: Solve for x
    x = 53,069,913.18/8,338.08
  6. Step 6: Final answer
    x = 6,364.76

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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.