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Finding the Fourth Proportional to 10,491.84, 15,735.24 and 3,094.29

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Solution

The fourth proportional to 10,491.84, 15,735.24 and 3,094.29 is: 4,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.84 : 15,735.24 = 3,094.29 : x
  2. Step 2: Convert to fraction form
    10,491.84/15,735.24 = 3,094.29/x
  3. Step 3: Cross multiply
    10,491.84x = 15,735.24 × 3,094.29
  4. Step 4: Simplify right side
    10,491.84x = 48,689,395.78
  5. Step 5: Solve for x
    x = 48,689,395.78/10,491.84
  6. Step 6: Final answer
    x = 4,640.69

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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.