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Finding the Fourth Proportional to 11,385.97, 15,712.32 and 6,350.34

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Solution

The fourth proportional to 11,385.97, 15,712.32 and 6,350.34 is: 8,763.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385.97 : 15,712.32 = 6,350.34 : x
  2. Step 2: Convert to fraction form
    11,385.97/15,712.32 = 6,350.34/x
  3. Step 3: Cross multiply
    11,385.97x = 15,712.32 × 6,350.34
  4. Step 4: Simplify right side
    11,385.97x = 99,778,574.19
  5. Step 5: Solve for x
    x = 99,778,574.19/11,385.97
  6. Step 6: Final answer
    x = 8,763.29

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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.