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Finding the Fourth Proportional to 7,811.84, 11,714.94 and 2,616.52

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Solution

The fourth proportional to 7,811.84, 11,714.94 and 2,616.52 is: 3,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.84 : 11,714.94 = 2,616.52 : x
  2. Step 2: Convert to fraction form
    7,811.84/11,714.94 = 2,616.52/x
  3. Step 3: Cross multiply
    7,811.84x = 11,714.94 × 2,616.52
  4. Step 4: Simplify right side
    7,811.84x = 30,652,374.81
  5. Step 5: Solve for x
    x = 30,652,374.81/7,811.84
  6. Step 6: Final answer
    x = 3,923.84

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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.