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Finding the Fourth Proportional to 10,846.98, 14,969.12 and 6,066.81

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Solution

The fourth proportional to 10,846.98, 14,969.12 and 6,066.81 is: 8,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.98 : 14,969.12 = 6,066.81 : x
  2. Step 2: Convert to fraction form
    10,846.98/14,969.12 = 6,066.81/x
  3. Step 3: Cross multiply
    10,846.98x = 14,969.12 × 6,066.81
  4. Step 4: Simplify right side
    10,846.98x = 90,814,776.57
  5. Step 5: Solve for x
    x = 90,814,776.57/10,846.98
  6. Step 6: Final answer
    x = 8,372.36

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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.