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Finding the Fourth Proportional to 10,033.64, 15,046.08 and 3,106.52

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Solution

The fourth proportional to 10,033.64, 15,046.08 and 3,106.52 is: 4,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.64 : 15,046.08 = 3,106.52 : x
  2. Step 2: Convert to fraction form
    10,033.64/15,046.08 = 3,106.52/x
  3. Step 3: Cross multiply
    10,033.64x = 15,046.08 × 3,106.52
  4. Step 4: Simplify right side
    10,033.64x = 46,740,948.44
  5. Step 5: Solve for x
    x = 46,740,948.44/10,033.64
  6. Step 6: Final answer
    x = 4,658.42

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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.