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Finding the Fourth Proportional to 10,032.35, 13,825.96 and 8,229.32

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Solution

The fourth proportional to 10,032.35, 13,825.96 and 8,229.32 is: 11,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.35 : 13,825.96 = 8,229.32 : x
  2. Step 2: Convert to fraction form
    10,032.35/13,825.96 = 8,229.32/x
  3. Step 3: Cross multiply
    10,032.35x = 13,825.96 × 8,229.32
  4. Step 4: Simplify right side
    10,032.35x = 113,778,200.11
  5. Step 5: Solve for x
    x = 113,778,200.11/10,032.35
  6. Step 6: Final answer
    x = 11,341.13

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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.