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Finding the Fourth Proportional to 7,037.69, 9,711.16 and 4,054.49

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Solution

The fourth proportional to 7,037.69, 9,711.16 and 4,054.49 is: 5,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.69 : 9,711.16 = 4,054.49 : x
  2. Step 2: Convert to fraction form
    7,037.69/9,711.16 = 4,054.49/x
  3. Step 3: Cross multiply
    7,037.69x = 9,711.16 × 4,054.49
  4. Step 4: Simplify right side
    7,037.69x = 39,373,801.11
  5. Step 5: Solve for x
    x = 39,373,801.11/7,037.69
  6. Step 6: Final answer
    x = 5,594.71

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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.