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Finding the Fourth Proportional to 7,569.84, 11,354.79 and 2,023.20

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Solution

The fourth proportional to 7,569.84, 11,354.79 and 2,023.20 is: 3,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.84 : 11,354.79 = 2,023.20 : x
  2. Step 2: Convert to fraction form
    7,569.84/11,354.79 = 2,023.20/x
  3. Step 3: Cross multiply
    7,569.84x = 11,354.79 × 2,023.20
  4. Step 4: Simplify right side
    7,569.84x = 22,973,011.13
  5. Step 5: Solve for x
    x = 22,973,011.13/7,569.84
  6. Step 6: Final answer
    x = 3,034.81

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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.