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Finding the Fourth Proportional to 10,300.74, 15,453.71 and 4,757.97

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Solution

The fourth proportional to 10,300.74, 15,453.71 and 4,757.97 is: 7,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.74 : 15,453.71 = 4,757.97 : x
  2. Step 2: Convert to fraction form
    10,300.74/15,453.71 = 4,757.97/x
  3. Step 3: Cross multiply
    10,300.74x = 15,453.71 × 4,757.97
  4. Step 4: Simplify right side
    10,300.74x = 73,528,264.78
  5. Step 5: Solve for x
    x = 73,528,264.78/10,300.74
  6. Step 6: Final answer
    x = 7,138.15

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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.