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Finding the Fourth Proportional to 10,519.00, 15,778.94 and 4,278.89

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Solution

The fourth proportional to 10,519.00, 15,778.94 and 4,278.89 is: 6,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.00 : 15,778.94 = 4,278.89 : x
  2. Step 2: Convert to fraction form
    10,519.00/15,778.94 = 4,278.89/x
  3. Step 3: Cross multiply
    10,519.00x = 15,778.94 × 4,278.89
  4. Step 4: Simplify right side
    10,519.00x = 67,516,366.63
  5. Step 5: Solve for x
    x = 67,516,366.63/10,519.00
  6. Step 6: Final answer
    x = 6,418.52

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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.