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Finding the Fourth Proportional to 10,637.10, 14,679 and 6,161.04

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Solution

The fourth proportional to 10,637.10, 14,679 and 6,161.04 is: 8,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.10 : 14,679 = 6,161.04 : x
  2. Step 2: Convert to fraction form
    10,637.10/14,679 = 6,161.04/x
  3. Step 3: Cross multiply
    10,637.10x = 14,679 × 6,161.04
  4. Step 4: Simplify right side
    10,637.10x = 90,437,906.16
  5. Step 5: Solve for x
    x = 90,437,906.16/10,637.10
  6. Step 6: Final answer
    x = 8,502.12

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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.