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Finding the Fourth Proportional to 8,511.66, 11,740.25 and 5,148.68

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Solution

The fourth proportional to 8,511.66, 11,740.25 and 5,148.68 is: 7,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.66 : 11,740.25 = 5,148.68 : x
  2. Step 2: Convert to fraction form
    8,511.66/11,740.25 = 5,148.68/x
  3. Step 3: Cross multiply
    8,511.66x = 11,740.25 × 5,148.68
  4. Step 4: Simplify right side
    8,511.66x = 60,446,705.93
  5. Step 5: Solve for x
    x = 60,446,705.93/8,511.66
  6. Step 6: Final answer
    x = 7,101.64

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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.