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Finding the Fourth Proportional to 10,906.25, 15,051.74 and 6,431.45

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Solution

The fourth proportional to 10,906.25, 15,051.74 and 6,431.45 is: 8,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.25 : 15,051.74 = 6,431.45 : x
  2. Step 2: Convert to fraction form
    10,906.25/15,051.74 = 6,431.45/x
  3. Step 3: Cross multiply
    10,906.25x = 15,051.74 × 6,431.45
  4. Step 4: Simplify right side
    10,906.25x = 96,804,405.81
  5. Step 5: Solve for x
    x = 96,804,405.81/10,906.25
  6. Step 6: Final answer
    x = 8,876.05

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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.