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Finding the Fourth Proportional to 11,219.38, 15,482.54 and 6,504.10

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Solution

The fourth proportional to 11,219.38, 15,482.54 and 6,504.10 is: 8,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.38 : 15,482.54 = 6,504.10 : x
  2. Step 2: Convert to fraction form
    11,219.38/15,482.54 = 6,504.10/x
  3. Step 3: Cross multiply
    11,219.38x = 15,482.54 × 6,504.10
  4. Step 4: Simplify right side
    11,219.38x = 100,699,988.41
  5. Step 5: Solve for x
    x = 100,699,988.41/11,219.38
  6. Step 6: Final answer
    x = 8,975.54

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Why These Related Problems?

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