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Finding the Fourth Proportional to 10,802.60, 16,179.60 and 6,428.60

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Solution

The fourth proportional to 10,802.60, 16,179.60 and 6,428.60 is: 9,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.60 : 16,179.60 = 6,428.60 : x
  2. Step 2: Convert to fraction form
    10,802.60/16,179.60 = 6,428.60/x
  3. Step 3: Cross multiply
    10,802.60x = 16,179.60 × 6,428.60
  4. Step 4: Simplify right side
    10,802.60x = 104,012,176.56
  5. Step 5: Solve for x
    x = 104,012,176.56/10,802.60
  6. Step 6: Final answer
    x = 9,628.44

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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.