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Finding the Fourth Proportional to 7,666.95, 11,498.30 and 2,119.87

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Solution

The fourth proportional to 7,666.95, 11,498.30 and 2,119.87 is: 3,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.95 : 11,498.30 = 2,119.87 : x
  2. Step 2: Convert to fraction form
    7,666.95/11,498.30 = 2,119.87/x
  3. Step 3: Cross multiply
    7,666.95x = 11,498.30 × 2,119.87
  4. Step 4: Simplify right side
    7,666.95x = 24,374,924.87
  5. Step 5: Solve for x
    x = 24,374,924.87/7,666.95
  6. Step 6: Final answer
    x = 3,179.22

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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.