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Finding the Fourth Proportional to 15,241.12, 22,861.88 and 4,711

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Solution

The fourth proportional to 15,241.12, 22,861.88 and 4,711 is: 7,066.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,241.12 : 22,861.88 = 4,711 : x
  2. Step 2: Convert to fraction form
    15,241.12/22,861.88 = 4,711/x
  3. Step 3: Cross multiply
    15,241.12x = 22,861.88 × 4,711
  4. Step 4: Simplify right side
    15,241.12x = 107,702,316.68
  5. Step 5: Solve for x
    x = 107,702,316.68/15,241.12
  6. Step 6: Final answer
    x = 7,066.56

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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.