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Finding the Fourth Proportional to 10,802.81, 16,204.84 and 3,012.23

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Solution

The fourth proportional to 10,802.81, 16,204.84 and 3,012.23 is: 4,518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.81 : 16,204.84 = 3,012.23 : x
  2. Step 2: Convert to fraction form
    10,802.81/16,204.84 = 3,012.23/x
  3. Step 3: Cross multiply
    10,802.81x = 16,204.84 × 3,012.23
  4. Step 4: Simplify right side
    10,802.81x = 48,812,738.17
  5. Step 5: Solve for x
    x = 48,812,738.17/10,802.81
  6. Step 6: Final answer
    x = 4,518.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.