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Finding the Fourth Proportional to 10,881.72, 15,016.32 and 6,166.26

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Solution

The fourth proportional to 10,881.72, 15,016.32 and 6,166.26 is: 8,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,881.72 : 15,016.32 = 6,166.26 : x
  2. Step 2: Convert to fraction form
    10,881.72/15,016.32 = 6,166.26/x
  3. Step 3: Cross multiply
    10,881.72x = 15,016.32 × 6,166.26
  4. Step 4: Simplify right side
    10,881.72x = 92,594,533.36
  5. Step 5: Solve for x
    x = 92,594,533.36/10,881.72
  6. Step 6: Final answer
    x = 8,509.18

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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.