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Finding the Fourth Proportional to 11,219.20, 15,482.49 and 6,506.21

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Solution

The fourth proportional to 11,219.20, 15,482.49 and 6,506.21 is: 8,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.20 : 15,482.49 = 6,506.21 : x
  2. Step 2: Convert to fraction form
    11,219.20/15,482.49 = 6,506.21/x
  3. Step 3: Cross multiply
    11,219.20x = 15,482.49 × 6,506.21
  4. Step 4: Simplify right side
    11,219.20x = 100,732,331.26
  5. Step 5: Solve for x
    x = 100,732,331.26/11,219.20
  6. Step 6: Final answer
    x = 8,978.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.