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Finding the Fourth Proportional to 10,819.65, 14,930.76 and 6,039.60

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Solution

The fourth proportional to 10,819.65, 14,930.76 and 6,039.60 is: 8,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.65 : 14,930.76 = 6,039.60 : x
  2. Step 2: Convert to fraction form
    10,819.65/14,930.76 = 6,039.60/x
  3. Step 3: Cross multiply
    10,819.65x = 14,930.76 × 6,039.60
  4. Step 4: Simplify right side
    10,819.65x = 90,175,818.10
  5. Step 5: Solve for x
    x = 90,175,818.10/10,819.65
  6. Step 6: Final answer
    x = 8,334.45

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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.