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Finding the Fourth Proportional to 11,109.95, 15,331.73 and 6,141.95

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Solution

The fourth proportional to 11,109.95, 15,331.73 and 6,141.95 is: 8,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109.95 : 15,331.73 = 6,141.95 : x
  2. Step 2: Convert to fraction form
    11,109.95/15,331.73 = 6,141.95/x
  3. Step 3: Cross multiply
    11,109.95x = 15,331.73 × 6,141.95
  4. Step 4: Simplify right side
    11,109.95x = 94,166,611.71
  5. Step 5: Solve for x
    x = 94,166,611.71/11,109.95
  6. Step 6: Final answer
    x = 8,475.88

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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.