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Finding the Fourth Proportional to 11,435.64, 15,780.83 and 6,400.28

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Solution

The fourth proportional to 11,435.64, 15,780.83 and 6,400.28 is: 8,832.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.64 : 15,780.83 = 6,400.28 : x
  2. Step 2: Convert to fraction form
    11,435.64/15,780.83 = 6,400.28/x
  3. Step 3: Cross multiply
    11,435.64x = 15,780.83 × 6,400.28
  4. Step 4: Simplify right side
    11,435.64x = 101,001,619.73
  5. Step 5: Solve for x
    x = 101,001,619.73/11,435.64
  6. Step 6: Final answer
    x = 8,832.18

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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.