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Finding the Fourth Proportional to 11,438.73, 15,785.73 and 6,403.80

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Solution

The fourth proportional to 11,438.73, 15,785.73 and 6,403.80 is: 8,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.73 : 15,785.73 = 6,403.80 : x
  2. Step 2: Convert to fraction form
    11,438.73/15,785.73 = 6,403.80/x
  3. Step 3: Cross multiply
    11,438.73x = 15,785.73 × 6,403.80
  4. Step 4: Simplify right side
    11,438.73x = 101,088,657.77
  5. Step 5: Solve for x
    x = 101,088,657.77/11,438.73
  6. Step 6: Final answer
    x = 8,837.40

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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.