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Finding the Fourth Proportional to 7,482.62, 11,224 and 3,575.18

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Solution

The fourth proportional to 7,482.62, 11,224 and 3,575.18 is: 5,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.62 : 11,224 = 3,575.18 : x
  2. Step 2: Convert to fraction form
    7,482.62/11,224 = 3,575.18/x
  3. Step 3: Cross multiply
    7,482.62x = 11,224 × 3,575.18
  4. Step 4: Simplify right side
    7,482.62x = 40,127,820.32
  5. Step 5: Solve for x
    x = 40,127,820.32/7,482.62
  6. Step 6: Final answer
    x = 5,362.80

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Why These Related Problems?

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