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Finding the Fourth Proportional to 7,330.42, 10,994.76 and 2,065.83

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Solution

The fourth proportional to 7,330.42, 10,994.76 and 2,065.83 is: 3,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.42 : 10,994.76 = 2,065.83 : x
  2. Step 2: Convert to fraction form
    7,330.42/10,994.76 = 2,065.83/x
  3. Step 3: Cross multiply
    7,330.42x = 10,994.76 × 2,065.83
  4. Step 4: Simplify right side
    7,330.42x = 22,713,239.75
  5. Step 5: Solve for x
    x = 22,713,239.75/7,330.42
  6. Step 6: Final answer
    x = 3,098.49

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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.