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Finding the Fourth Proportional to 8,039.18, 11,071.26 and 7,867.46

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Solution

The fourth proportional to 8,039.18, 11,071.26 and 7,867.46 is: 10,834.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.18 : 11,071.26 = 7,867.46 : x
  2. Step 2: Convert to fraction form
    8,039.18/11,071.26 = 7,867.46/x
  3. Step 3: Cross multiply
    8,039.18x = 11,071.26 × 7,867.46
  4. Step 4: Simplify right side
    8,039.18x = 87,102,639.84
  5. Step 5: Solve for x
    x = 87,102,639.84/8,039.18
  6. Step 6: Final answer
    x = 10,834.77

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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.