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Finding the Fourth Proportional to 7,569.34, 11,354.04 and 2,022.70

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Solution

The fourth proportional to 7,569.34, 11,354.04 and 2,022.70 is: 3,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.34 : 11,354.04 = 2,022.70 : x
  2. Step 2: Convert to fraction form
    7,569.34/11,354.04 = 2,022.70/x
  3. Step 3: Cross multiply
    7,569.34x = 11,354.04 × 2,022.70
  4. Step 4: Simplify right side
    7,569.34x = 22,965,816.71
  5. Step 5: Solve for x
    x = 22,965,816.71/7,569.34
  6. Step 6: Final answer
    x = 3,034.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.