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Finding the Fourth Proportional to 10,802.13, 14,913.83 and 8,817.43

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Solution

The fourth proportional to 10,802.13, 14,913.83 and 8,817.43 is: 12,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.13 : 14,913.83 = 8,817.43 : x
  2. Step 2: Convert to fraction form
    10,802.13/14,913.83 = 8,817.43/x
  3. Step 3: Cross multiply
    10,802.13x = 14,913.83 × 8,817.43
  4. Step 4: Simplify right side
    10,802.13x = 131,501,652.06
  5. Step 5: Solve for x
    x = 131,501,652.06/10,802.13
  6. Step 6: Final answer
    x = 12,173.68

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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.