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Finding the Fourth Proportional to 7,023, 10,529.02 and 3,514.39

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Solution

The fourth proportional to 7,023, 10,529.02 and 3,514.39 is: 5,268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023 : 10,529.02 = 3,514.39 : x
  2. Step 2: Convert to fraction form
    7,023/10,529.02 = 3,514.39/x
  3. Step 3: Cross multiply
    7,023x = 10,529.02 × 3,514.39
  4. Step 4: Simplify right side
    7,023x = 37,003,082.60
  5. Step 5: Solve for x
    x = 37,003,082.60/7,023
  6. Step 6: Final answer
    x = 5,268.84

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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.