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Finding the Fourth Proportional to 11,509.94, 15,883.26 and 6,795.74

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Solution

The fourth proportional to 11,509.94, 15,883.26 and 6,795.74 is: 9,377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.94 : 15,883.26 = 6,795.74 : x
  2. Step 2: Convert to fraction form
    11,509.94/15,883.26 = 6,795.74/x
  3. Step 3: Cross multiply
    11,509.94x = 15,883.26 × 6,795.74
  4. Step 4: Simplify right side
    11,509.94x = 107,938,505.31
  5. Step 5: Solve for x
    x = 107,938,505.31/11,509.94
  6. Step 6: Final answer
    x = 9,377.85

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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.