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Finding the Fourth Proportional to 10,033.66, 13,846.95 and 6,054.70

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Solution

The fourth proportional to 10,033.66, 13,846.95 and 6,054.70 is: 8,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.66 : 13,846.95 = 6,054.70 : x
  2. Step 2: Convert to fraction form
    10,033.66/13,846.95 = 6,054.70/x
  3. Step 3: Cross multiply
    10,033.66x = 13,846.95 × 6,054.70
  4. Step 4: Simplify right side
    10,033.66x = 83,839,128.17
  5. Step 5: Solve for x
    x = 83,839,128.17/10,033.66
  6. Step 6: Final answer
    x = 8,355.79

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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.