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Finding the Fourth Proportional to 10,764.26, 14,851.94 and 6,285.16

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Solution

The fourth proportional to 10,764.26, 14,851.94 and 6,285.16 is: 8,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.26 : 14,851.94 = 6,285.16 : x
  2. Step 2: Convert to fraction form
    10,764.26/14,851.94 = 6,285.16/x
  3. Step 3: Cross multiply
    10,764.26x = 14,851.94 × 6,285.16
  4. Step 4: Simplify right side
    10,764.26x = 93,346,819.21
  5. Step 5: Solve for x
    x = 93,346,819.21/10,764.26
  6. Step 6: Final answer
    x = 8,671.92

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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.