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Finding the Fourth Proportional to 10,637.72, 14,680.04 and 6,161.69

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Solution

The fourth proportional to 10,637.72, 14,680.04 and 6,161.69 is: 8,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.72 : 14,680.04 = 6,161.69 : x
  2. Step 2: Convert to fraction form
    10,637.72/14,680.04 = 6,161.69/x
  3. Step 3: Cross multiply
    10,637.72x = 14,680.04 × 6,161.69
  4. Step 4: Simplify right side
    10,637.72x = 90,453,824.86
  5. Step 5: Solve for x
    x = 90,453,824.86/10,637.72
  6. Step 6: Final answer
    x = 8,503.12

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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.