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Finding the Fourth Proportional to 10,491.64, 15,733.50 and 3,094

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Solution

The fourth proportional to 10,491.64, 15,733.50 and 3,094 is: 4,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.64 : 15,733.50 = 3,094 : x
  2. Step 2: Convert to fraction form
    10,491.64/15,733.50 = 3,094/x
  3. Step 3: Cross multiply
    10,491.64x = 15,733.50 × 3,094
  4. Step 4: Simplify right side
    10,491.64x = 48,679,449
  5. Step 5: Solve for x
    x = 48,679,449/10,491.64
  6. Step 6: Final answer
    x = 4,639.83

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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.