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Finding the Fourth Proportional to 7,002.42, 10,507.14 and 3,304.50

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Solution

The fourth proportional to 7,002.42, 10,507.14 and 3,304.50 is: 4,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.42 : 10,507.14 = 3,304.50 : x
  2. Step 2: Convert to fraction form
    7,002.42/10,507.14 = 3,304.50/x
  3. Step 3: Cross multiply
    7,002.42x = 10,507.14 × 3,304.50
  4. Step 4: Simplify right side
    7,002.42x = 34,720,844.13
  5. Step 5: Solve for x
    x = 34,720,844.13/7,002.42
  6. Step 6: Final answer
    x = 4,958.41

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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.