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Finding the Fourth Proportional to 10,071.56, 15,093.97 and 4,523.87

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Solution

The fourth proportional to 10,071.56, 15,093.97 and 4,523.87 is: 6,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.56 : 15,093.97 = 4,523.87 : x
  2. Step 2: Convert to fraction form
    10,071.56/15,093.97 = 4,523.87/x
  3. Step 3: Cross multiply
    10,071.56x = 15,093.97 × 4,523.87
  4. Step 4: Simplify right side
    10,071.56x = 68,283,158.06
  5. Step 5: Solve for x
    x = 68,283,158.06/10,071.56
  6. Step 6: Final answer
    x = 6,779.80

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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.