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Finding the Fourth Proportional to 10,033.54, 15,040.52 and 4,191.82

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Solution

The fourth proportional to 10,033.54, 15,040.52 and 4,191.82 is: 6,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.54 : 15,040.52 = 4,191.82 : x
  2. Step 2: Convert to fraction form
    10,033.54/15,040.52 = 4,191.82/x
  3. Step 3: Cross multiply
    10,033.54x = 15,040.52 × 4,191.82
  4. Step 4: Simplify right side
    10,033.54x = 63,047,152.55
  5. Step 5: Solve for x
    x = 63,047,152.55/10,033.54
  6. Step 6: Final answer
    x = 6,283.64

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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.