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Finding the Fourth Proportional to 10,938.87, 15,094.74 and 6,159.25

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Solution

The fourth proportional to 10,938.87, 15,094.74 and 6,159.25 is: 8,499.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.87 : 15,094.74 = 6,159.25 : x
  2. Step 2: Convert to fraction form
    10,938.87/15,094.74 = 6,159.25/x
  3. Step 3: Cross multiply
    10,938.87x = 15,094.74 × 6,159.25
  4. Step 4: Simplify right side
    10,938.87x = 92,972,331.88
  5. Step 5: Solve for x
    x = 92,972,331.88/10,938.87
  6. Step 6: Final answer
    x = 8,499.26

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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.