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Finding the Fourth Proportional to 8,316.44, 11,465.66 and 6,894.76

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Solution

The fourth proportional to 8,316.44, 11,465.66 and 6,894.76 is: 9,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.44 : 11,465.66 = 6,894.76 : x
  2. Step 2: Convert to fraction form
    8,316.44/11,465.66 = 6,894.76/x
  3. Step 3: Cross multiply
    8,316.44x = 11,465.66 × 6,894.76
  4. Step 4: Simplify right side
    8,316.44x = 79,052,973.94
  5. Step 5: Solve for x
    x = 79,052,973.94/8,316.44
  6. Step 6: Final answer
    x = 9,505.63

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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.