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Finding the Fourth Proportional to 8,811.69, 13,214.75 and 2,966.93

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Solution

The fourth proportional to 8,811.69, 13,214.75 and 2,966.93 is: 4,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.69 : 13,214.75 = 2,966.93 : x
  2. Step 2: Convert to fraction form
    8,811.69/13,214.75 = 2,966.93/x
  3. Step 3: Cross multiply
    8,811.69x = 13,214.75 × 2,966.93
  4. Step 4: Simplify right side
    8,811.69x = 39,207,206.86
  5. Step 5: Solve for x
    x = 39,207,206.86/8,811.69
  6. Step 6: Final answer
    x = 4,449.46

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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.