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Finding the Fourth Proportional to 7,482.40, 11,220.96 and 2,216

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Solution

The fourth proportional to 7,482.40, 11,220.96 and 2,216 is: 3,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.40 : 11,220.96 = 2,216 : x
  2. Step 2: Convert to fraction form
    7,482.40/11,220.96 = 2,216/x
  3. Step 3: Cross multiply
    7,482.40x = 11,220.96 × 2,216
  4. Step 4: Simplify right side
    7,482.40x = 24,865,647.36
  5. Step 5: Solve for x
    x = 24,865,647.36/7,482.40
  6. Step 6: Final answer
    x = 3,323.22

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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.