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Finding the Fourth Proportional to 10,944.64, 16,400.48 and 5,094.40

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Solution

The fourth proportional to 10,944.64, 16,400.48 and 5,094.40 is: 7,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.64 : 16,400.48 = 5,094.40 : x
  2. Step 2: Convert to fraction form
    10,944.64/16,400.48 = 5,094.40/x
  3. Step 3: Cross multiply
    10,944.64x = 16,400.48 × 5,094.40
  4. Step 4: Simplify right side
    10,944.64x = 83,550,605.31
  5. Step 5: Solve for x
    x = 83,550,605.31/10,944.64
  6. Step 6: Final answer
    x = 7,633.93

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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.