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Finding the Fourth Proportional to 10,662.49, 14,707.88 and 6,676.68

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Solution

The fourth proportional to 10,662.49, 14,707.88 and 6,676.68 is: 9,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.49 : 14,707.88 = 6,676.68 : x
  2. Step 2: Convert to fraction form
    10,662.49/14,707.88 = 6,676.68/x
  3. Step 3: Cross multiply
    10,662.49x = 14,707.88 × 6,676.68
  4. Step 4: Simplify right side
    10,662.49x = 98,199,772.32
  5. Step 5: Solve for x
    x = 98,199,772.32/10,662.49
  6. Step 6: Final answer
    x = 9,209.84

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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.