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Finding the Fourth Proportional to 11,437.31, 15,783.77 and 6,401.49

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Solution

The fourth proportional to 11,437.31, 15,783.77 and 6,401.49 is: 8,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.31 : 15,783.77 = 6,401.49 : x
  2. Step 2: Convert to fraction form
    11,437.31/15,783.77 = 6,401.49/x
  3. Step 3: Cross multiply
    11,437.31x = 15,783.77 × 6,401.49
  4. Step 4: Simplify right side
    11,437.31x = 101,039,645.82
  5. Step 5: Solve for x
    x = 101,039,645.82/11,437.31
  6. Step 6: Final answer
    x = 8,834.21

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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.