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Finding the Fourth Proportional to 6,052.52, 9,073.11 and 2,357.12

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Solution

The fourth proportional to 6,052.52, 9,073.11 and 2,357.12 is: 3,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.52 : 9,073.11 = 2,357.12 : x
  2. Step 2: Convert to fraction form
    6,052.52/9,073.11 = 2,357.12/x
  3. Step 3: Cross multiply
    6,052.52x = 9,073.11 × 2,357.12
  4. Step 4: Simplify right side
    6,052.52x = 21,386,409.04
  5. Step 5: Solve for x
    x = 21,386,409.04/6,052.52
  6. Step 6: Final answer
    x = 3,533.47

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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.