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Finding the Fourth Proportional to 6,989.32, 10,480.74 and 4,068.46

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Solution

The fourth proportional to 6,989.32, 10,480.74 and 4,068.46 is: 6,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.32 : 10,480.74 = 4,068.46 : x
  2. Step 2: Convert to fraction form
    6,989.32/10,480.74 = 4,068.46/x
  3. Step 3: Cross multiply
    6,989.32x = 10,480.74 × 4,068.46
  4. Step 4: Simplify right side
    6,989.32x = 42,640,471.46
  5. Step 5: Solve for x
    x = 42,640,471.46/6,989.32
  6. Step 6: Final answer
    x = 6,100.80

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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.