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Finding the Fourth Proportional to 11,435.30, 15,778.82 and 6,720.50

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Solution

The fourth proportional to 11,435.30, 15,778.82 and 6,720.50 is: 9,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.30 : 15,778.82 = 6,720.50 : x
  2. Step 2: Convert to fraction form
    11,435.30/15,778.82 = 6,720.50/x
  3. Step 3: Cross multiply
    11,435.30x = 15,778.82 × 6,720.50
  4. Step 4: Simplify right side
    11,435.30x = 106,041,447.31
  5. Step 5: Solve for x
    x = 106,041,447.31/11,435.30
  6. Step 6: Final answer
    x = 9,273.17

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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.