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Finding the Fourth Proportional to 8,339.76, 11,511.12 and 5,194.08

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Solution

The fourth proportional to 8,339.76, 11,511.12 and 5,194.08 is: 7,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.76 : 11,511.12 = 5,194.08 : x
  2. Step 2: Convert to fraction form
    8,339.76/11,511.12 = 5,194.08/x
  3. Step 3: Cross multiply
    8,339.76x = 11,511.12 × 5,194.08
  4. Step 4: Simplify right side
    8,339.76x = 59,789,678.17
  5. Step 5: Solve for x
    x = 59,789,678.17/8,339.76
  6. Step 6: Final answer
    x = 7,169.23

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1.5x scale

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.