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Finding the Fourth Proportional to 11,099.70, 16,657.65 and 7,400.70

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Solution

The fourth proportional to 11,099.70, 16,657.65 and 7,400.70 is: 11,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.70 : 16,657.65 = 7,400.70 : x
  2. Step 2: Convert to fraction form
    11,099.70/16,657.65 = 7,400.70/x
  3. Step 3: Cross multiply
    11,099.70x = 16,657.65 × 7,400.70
  4. Step 4: Simplify right side
    11,099.70x = 123,278,270.36
  5. Step 5: Solve for x
    x = 123,278,270.36/11,099.70
  6. Step 6: Final answer
    x = 11,106.45

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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.