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Finding the Fourth Proportional to 10,071.58, 13,899.72 and 6,093.67

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Solution

The fourth proportional to 10,071.58, 13,899.72 and 6,093.67 is: 8,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.58 : 13,899.72 = 6,093.67 : x
  2. Step 2: Convert to fraction form
    10,071.58/13,899.72 = 6,093.67/x
  3. Step 3: Cross multiply
    10,071.58x = 13,899.72 × 6,093.67
  4. Step 4: Simplify right side
    10,071.58x = 84,700,306.77
  5. Step 5: Solve for x
    x = 84,700,306.77/10,071.58
  6. Step 6: Final answer
    x = 8,409.83

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