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Finding the Fourth Proportional to 10,155.72, 14,014.72 and 5,679.36

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Solution

The fourth proportional to 10,155.72, 14,014.72 and 5,679.36 is: 7,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.72 : 14,014.72 = 5,679.36 : x
  2. Step 2: Convert to fraction form
    10,155.72/14,014.72 = 5,679.36/x
  3. Step 3: Cross multiply
    10,155.72x = 14,014.72 × 5,679.36
  4. Step 4: Simplify right side
    10,155.72x = 79,594,640.18
  5. Step 5: Solve for x
    x = 79,594,640.18/10,155.72
  6. Step 6: Final answer
    x = 7,837.42

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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.