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Finding the Fourth Proportional to 10,071.98, 15,113.07 and 4,524.18

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Solution

The fourth proportional to 10,071.98, 15,113.07 and 4,524.18 is: 6,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.98 : 15,113.07 = 4,524.18 : x
  2. Step 2: Convert to fraction form
    10,071.98/15,113.07 = 4,524.18/x
  3. Step 3: Cross multiply
    10,071.98x = 15,113.07 × 4,524.18
  4. Step 4: Simplify right side
    10,071.98x = 68,374,249.03
  5. Step 5: Solve for x
    x = 68,374,249.03/10,071.98
  6. Step 6: Final answer
    x = 6,788.56

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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.