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Finding the Fourth Proportional to 11,151.70, 15,392.64 and 6,439.12

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Solution

The fourth proportional to 11,151.70, 15,392.64 and 6,439.12 is: 8,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.70 : 15,392.64 = 6,439.12 : x
  2. Step 2: Convert to fraction form
    11,151.70/15,392.64 = 6,439.12/x
  3. Step 3: Cross multiply
    11,151.70x = 15,392.64 × 6,439.12
  4. Step 4: Simplify right side
    11,151.70x = 99,115,056.08
  5. Step 5: Solve for x
    x = 99,115,056.08/11,151.70
  6. Step 6: Final answer
    x = 8,887.89

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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.