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Finding the Fourth Proportional to 7,349.52, 11,024.64 and 2,966.43

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Solution

The fourth proportional to 7,349.52, 11,024.64 and 2,966.43 is: 4,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.52 : 11,024.64 = 2,966.43 : x
  2. Step 2: Convert to fraction form
    7,349.52/11,024.64 = 2,966.43/x
  3. Step 3: Cross multiply
    7,349.52x = 11,024.64 × 2,966.43
  4. Step 4: Simplify right side
    7,349.52x = 32,703,822.84
  5. Step 5: Solve for x
    x = 32,703,822.84/7,349.52
  6. Step 6: Final answer
    x = 4,449.79

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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.