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Finding the Fourth Proportional to 6,988.95, 10,469.66 and 3,693.87

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Solution

The fourth proportional to 6,988.95, 10,469.66 and 3,693.87 is: 5,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.95 : 10,469.66 = 3,693.87 : x
  2. Step 2: Convert to fraction form
    6,988.95/10,469.66 = 3,693.87/x
  3. Step 3: Cross multiply
    6,988.95x = 10,469.66 × 3,693.87
  4. Step 4: Simplify right side
    6,988.95x = 38,673,544.51
  5. Step 5: Solve for x
    x = 38,673,544.51/6,988.95
  6. Step 6: Final answer
    x = 5,533.53

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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.