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Finding the Fourth Proportional to 7,023.84, 10,527.12 and 3,559.20

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Solution

The fourth proportional to 7,023.84, 10,527.12 and 3,559.20 is: 5,334.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.84 : 10,527.12 = 3,559.20 : x
  2. Step 2: Convert to fraction form
    7,023.84/10,527.12 = 3,559.20/x
  3. Step 3: Cross multiply
    7,023.84x = 10,527.12 × 3,559.20
  4. Step 4: Simplify right side
    7,023.84x = 37,468,125.50
  5. Step 5: Solve for x
    x = 37,468,125.50/7,023.84
  6. Step 6: Final answer
    x = 5,334.42

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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.