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Finding the Fourth Proportional to 10,133.57, 13,986.65 and 5,943.17

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Solution

The fourth proportional to 10,133.57, 13,986.65 and 5,943.17 is: 8,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.57 : 13,986.65 = 5,943.17 : x
  2. Step 2: Convert to fraction form
    10,133.57/13,986.65 = 5,943.17/x
  3. Step 3: Cross multiply
    10,133.57x = 13,986.65 × 5,943.17
  4. Step 4: Simplify right side
    10,133.57x = 83,125,038.68
  5. Step 5: Solve for x
    x = 83,125,038.68/10,133.57
  6. Step 6: Final answer
    x = 8,202.94

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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.