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Finding the Fourth Proportional to 8,537.41, 12,806.10 and 3,339.64

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Solution

The fourth proportional to 8,537.41, 12,806.10 and 3,339.64 is: 5,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.41 : 12,806.10 = 3,339.64 : x
  2. Step 2: Convert to fraction form
    8,537.41/12,806.10 = 3,339.64/x
  3. Step 3: Cross multiply
    8,537.41x = 12,806.10 × 3,339.64
  4. Step 4: Simplify right side
    8,537.41x = 42,767,763.80
  5. Step 5: Solve for x
    x = 42,767,763.80/8,537.41
  6. Step 6: Final answer
    x = 5,009.45

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