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Finding the Fourth Proportional to 6,743.69, 10,113.64 and 4,037.08

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Solution

The fourth proportional to 6,743.69, 10,113.64 and 4,037.08 is: 6,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.69 : 10,113.64 = 4,037.08 : x
  2. Step 2: Convert to fraction form
    6,743.69/10,113.64 = 4,037.08/x
  3. Step 3: Cross multiply
    6,743.69x = 10,113.64 × 4,037.08
  4. Step 4: Simplify right side
    6,743.69x = 40,829,573.77
  5. Step 5: Solve for x
    x = 40,829,573.77/6,743.69
  6. Step 6: Final answer
    x = 6,054.49

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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.