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Finding the Fourth Proportional to 10,114.59, 15,173.71 and 3,094.47

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Solution

The fourth proportional to 10,114.59, 15,173.71 and 3,094.47 is: 4,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.59 : 15,173.71 = 3,094.47 : x
  2. Step 2: Convert to fraction form
    10,114.59/15,173.71 = 3,094.47/x
  3. Step 3: Cross multiply
    10,114.59x = 15,173.71 × 3,094.47
  4. Step 4: Simplify right side
    10,114.59x = 46,954,593.97
  5. Step 5: Solve for x
    x = 46,954,593.97/10,114.59
  6. Step 6: Final answer
    x = 4,642.26

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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.