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Finding the Fourth Proportional to 11,491.42, 15,857.04 and 6,454.50

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Solution

The fourth proportional to 11,491.42, 15,857.04 and 6,454.50 is: 8,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.42 : 15,857.04 = 6,454.50 : x
  2. Step 2: Convert to fraction form
    11,491.42/15,857.04 = 6,454.50/x
  3. Step 3: Cross multiply
    11,491.42x = 15,857.04 × 6,454.50
  4. Step 4: Simplify right side
    11,491.42x = 102,349,264.68
  5. Step 5: Solve for x
    x = 102,349,264.68/11,491.42
  6. Step 6: Final answer
    x = 8,906.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.