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Finding the Fourth Proportional to 7,281.46, 10,933.13 and 4,164.99

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Solution

The fourth proportional to 7,281.46, 10,933.13 and 4,164.99 is: 6,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.46 : 10,933.13 = 4,164.99 : x
  2. Step 2: Convert to fraction form
    7,281.46/10,933.13 = 4,164.99/x
  3. Step 3: Cross multiply
    7,281.46x = 10,933.13 × 4,164.99
  4. Step 4: Simplify right side
    7,281.46x = 45,536,323.10
  5. Step 5: Solve for x
    x = 45,536,323.10/7,281.46
  6. Step 6: Final answer
    x = 6,253.73

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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.