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Finding the Fourth Proportional to 10,632.75, 14,673.20 and 5,917.34

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Solution

The fourth proportional to 10,632.75, 14,673.20 and 5,917.34 is: 8,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.75 : 14,673.20 = 5,917.34 : x
  2. Step 2: Convert to fraction form
    10,632.75/14,673.20 = 5,917.34/x
  3. Step 3: Cross multiply
    10,632.75x = 14,673.20 × 5,917.34
  4. Step 4: Simplify right side
    10,632.75x = 86,826,210.34
  5. Step 5: Solve for x
    x = 86,826,210.34/10,632.75
  6. Step 6: Final answer
    x = 8,165.92

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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.