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Finding the Fourth Proportional to 10,605.12, 14,628.96 and 8,617.92

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Solution

The fourth proportional to 10,605.12, 14,628.96 and 8,617.92 is: 11,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.12 : 14,628.96 = 8,617.92 : x
  2. Step 2: Convert to fraction form
    10,605.12/14,628.96 = 8,617.92/x
  3. Step 3: Cross multiply
    10,605.12x = 14,628.96 × 8,617.92
  4. Step 4: Simplify right side
    10,605.12x = 126,071,206.96
  5. Step 5: Solve for x
    x = 126,071,206.96/10,605.12
  6. Step 6: Final answer
    x = 11,887.77

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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.