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Finding the Fourth Proportional to 10,256.44, 14,150.09 and 6,006.78

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Solution

The fourth proportional to 10,256.44, 14,150.09 and 6,006.78 is: 8,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.44 : 14,150.09 = 6,006.78 : x
  2. Step 2: Convert to fraction form
    10,256.44/14,150.09 = 6,006.78/x
  3. Step 3: Cross multiply
    10,256.44x = 14,150.09 × 6,006.78
  4. Step 4: Simplify right side
    10,256.44x = 84,996,477.61
  5. Step 5: Solve for x
    x = 84,996,477.61/10,256.44
  6. Step 6: Final answer
    x = 8,287.13

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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.