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Finding the Fourth Proportional to 8,811.45, 12,164.72 and 5,994

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Solution

The fourth proportional to 8,811.45, 12,164.72 and 5,994 is: 8,275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.45 : 12,164.72 = 5,994 : x
  2. Step 2: Convert to fraction form
    8,811.45/12,164.72 = 5,994/x
  3. Step 3: Cross multiply
    8,811.45x = 12,164.72 × 5,994
  4. Step 4: Simplify right side
    8,811.45x = 72,915,301.71
  5. Step 5: Solve for x
    x = 72,915,301.71/8,811.45
  6. Step 6: Final answer
    x = 8,275.06

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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.