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Finding the Fourth Proportional to 8,416.76, 12,624.57 and 3,482.80

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Solution

The fourth proportional to 8,416.76, 12,624.57 and 3,482.80 is: 5,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.76 : 12,624.57 = 3,482.80 : x
  2. Step 2: Convert to fraction form
    8,416.76/12,624.57 = 3,482.80/x
  3. Step 3: Cross multiply
    8,416.76x = 12,624.57 × 3,482.80
  4. Step 4: Simplify right side
    8,416.76x = 43,968,820.83
  5. Step 5: Solve for x
    x = 43,968,820.83/8,416.76
  6. Step 6: Final answer
    x = 5,223.96

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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.