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Finding the Fourth Proportional to 10,133.66, 13,983.75 and 6,356.63

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Solution

The fourth proportional to 10,133.66, 13,983.75 and 6,356.63 is: 8,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.66 : 13,983.75 = 6,356.63 : x
  2. Step 2: Convert to fraction form
    10,133.66/13,983.75 = 6,356.63/x
  3. Step 3: Cross multiply
    10,133.66x = 13,983.75 × 6,356.63
  4. Step 4: Simplify right side
    10,133.66x = 88,889,454.84
  5. Step 5: Solve for x
    x = 88,889,454.84/10,133.66
  6. Step 6: Final answer
    x = 8,771.71

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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.