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Finding the Fourth Proportional to 10,632.88, 14,673.72 and 5,917.33

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Solution

The fourth proportional to 10,632.88, 14,673.72 and 5,917.33 is: 8,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.88 : 14,673.72 = 5,917.33 : x
  2. Step 2: Convert to fraction form
    10,632.88/14,673.72 = 5,917.33/x
  3. Step 3: Cross multiply
    10,632.88x = 14,673.72 × 5,917.33
  4. Step 4: Simplify right side
    10,632.88x = 86,829,243.57
  5. Step 5: Solve for x
    x = 86,829,243.57/10,632.88
  6. Step 6: Final answer
    x = 8,166.11

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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.