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Finding the Fourth Proportional to 7,846.66, 11,770.08 and 2,582.02

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Solution

The fourth proportional to 7,846.66, 11,770.08 and 2,582.02 is: 3,873.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.66 : 11,770.08 = 2,582.02 : x
  2. Step 2: Convert to fraction form
    7,846.66/11,770.08 = 2,582.02/x
  3. Step 3: Cross multiply
    7,846.66x = 11,770.08 × 2,582.02
  4. Step 4: Simplify right side
    7,846.66x = 30,390,581.96
  5. Step 5: Solve for x
    x = 30,390,581.96/7,846.66
  6. Step 6: Final answer
    x = 3,873.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.