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Finding the Fourth Proportional to 10,819.44, 14,933.16 and 6,345

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Solution

The fourth proportional to 10,819.44, 14,933.16 and 6,345 is: 8,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.44 : 14,933.16 = 6,345 : x
  2. Step 2: Convert to fraction form
    10,819.44/14,933.16 = 6,345/x
  3. Step 3: Cross multiply
    10,819.44x = 14,933.16 × 6,345
  4. Step 4: Simplify right side
    10,819.44x = 94,750,900.20
  5. Step 5: Solve for x
    x = 94,750,900.20/10,819.44
  6. Step 6: Final answer
    x = 8,757.47

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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.