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Finding the Fourth Proportional to 10,053.81, 15,082.97 and 3,033.95

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Solution

The fourth proportional to 10,053.81, 15,082.97 and 3,033.95 is: 4,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.81 : 15,082.97 = 3,033.95 : x
  2. Step 2: Convert to fraction form
    10,053.81/15,082.97 = 3,033.95/x
  3. Step 3: Cross multiply
    10,053.81x = 15,082.97 × 3,033.95
  4. Step 4: Simplify right side
    10,053.81x = 45,760,886.25
  5. Step 5: Solve for x
    x = 45,760,886.25/10,053.81
  6. Step 6: Final answer
    x = 4,551.60

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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.