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Finding the Fourth Proportional to 10,636.72, 14,679.97 and 6,101.06

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Solution

The fourth proportional to 10,636.72, 14,679.97 and 6,101.06 is: 8,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.72 : 14,679.97 = 6,101.06 : x
  2. Step 2: Convert to fraction form
    10,636.72/14,679.97 = 6,101.06/x
  3. Step 3: Cross multiply
    10,636.72x = 14,679.97 × 6,101.06
  4. Step 4: Simplify right side
    10,636.72x = 89,563,289.12
  5. Step 5: Solve for x
    x = 89,563,289.12/10,636.72
  6. Step 6: Final answer
    x = 8,420.20

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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.