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Finding the Fourth Proportional to 8,047.86, 12,071.73 and 5,291.94

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Solution

The fourth proportional to 8,047.86, 12,071.73 and 5,291.94 is: 7,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047.86 : 12,071.73 = 5,291.94 : x
  2. Step 2: Convert to fraction form
    8,047.86/12,071.73 = 5,291.94/x
  3. Step 3: Cross multiply
    8,047.86x = 12,071.73 × 5,291.94
  4. Step 4: Simplify right side
    8,047.86x = 63,882,870.86
  5. Step 5: Solve for x
    x = 63,882,870.86/8,047.86
  6. Step 6: Final answer
    x = 7,937.87

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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.