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Finding the Fourth Proportional to 8,534.74, 12,803.19 and 3,339.94

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Solution

The fourth proportional to 8,534.74, 12,803.19 and 3,339.94 is: 5,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.74 : 12,803.19 = 3,339.94 : x
  2. Step 2: Convert to fraction form
    8,534.74/12,803.19 = 3,339.94/x
  3. Step 3: Cross multiply
    8,534.74x = 12,803.19 × 3,339.94
  4. Step 4: Simplify right side
    8,534.74x = 42,761,886.41
  5. Step 5: Solve for x
    x = 42,761,886.41/8,534.74
  6. Step 6: Final answer
    x = 5,010.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.