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Finding the Fourth Proportional to 10,147.02, 14,001.39 and 5,956.62

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Solution

The fourth proportional to 10,147.02, 14,001.39 and 5,956.62 is: 8,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.02 : 14,001.39 = 5,956.62 : x
  2. Step 2: Convert to fraction form
    10,147.02/14,001.39 = 5,956.62/x
  3. Step 3: Cross multiply
    10,147.02x = 14,001.39 × 5,956.62
  4. Step 4: Simplify right side
    10,147.02x = 83,400,959.70
  5. Step 5: Solve for x
    x = 83,400,959.70/10,147.02
  6. Step 6: Final answer
    x = 8,219.26

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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.