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Finding the Fourth Proportional to 10,071.94, 15,114.48 and 3,832.01

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Solution

The fourth proportional to 10,071.94, 15,114.48 and 3,832.01 is: 5,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.94 : 15,114.48 = 3,832.01 : x
  2. Step 2: Convert to fraction form
    10,071.94/15,114.48 = 3,832.01/x
  3. Step 3: Cross multiply
    10,071.94x = 15,114.48 × 3,832.01
  4. Step 4: Simplify right side
    10,071.94x = 57,918,820.90
  5. Step 5: Solve for x
    x = 57,918,820.90/10,071.94
  6. Step 6: Final answer
    x = 5,750.51

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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.