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Finding the Fourth Proportional to 6,974.76, 10,419.99 and 4,489.32

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Solution

The fourth proportional to 6,974.76, 10,419.99 and 4,489.32 is: 6,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.76 : 10,419.99 = 4,489.32 : x
  2. Step 2: Convert to fraction form
    6,974.76/10,419.99 = 4,489.32/x
  3. Step 3: Cross multiply
    6,974.76x = 10,419.99 × 4,489.32
  4. Step 4: Simplify right side
    6,974.76x = 46,778,669.51
  5. Step 5: Solve for x
    x = 46,778,669.51/6,974.76
  6. Step 6: Final answer
    x = 6,706.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.