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Finding the Fourth Proportional to 10,094.43, 15,141.65 and 4,546.74

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Solution

The fourth proportional to 10,094.43, 15,141.65 and 4,546.74 is: 6,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.43 : 15,141.65 = 4,546.74 : x
  2. Step 2: Convert to fraction form
    10,094.43/15,141.65 = 4,546.74/x
  3. Step 3: Cross multiply
    10,094.43x = 15,141.65 × 4,546.74
  4. Step 4: Simplify right side
    10,094.43x = 68,845,122.99
  5. Step 5: Solve for x
    x = 68,845,122.99/10,094.43
  6. Step 6: Final answer
    x = 6,820.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.