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Finding the Fourth Proportional to 10,074.42, 15,111.63 and 3,833.00

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Solution

The fourth proportional to 10,074.42, 15,111.63 and 3,833.00 is: 5,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.42 : 15,111.63 = 3,833.00 : x
  2. Step 2: Convert to fraction form
    10,074.42/15,111.63 = 3,833.00/x
  3. Step 3: Cross multiply
    10,074.42x = 15,111.63 × 3,833.00
  4. Step 4: Simplify right side
    10,074.42x = 57,922,802.23
  5. Step 5: Solve for x
    x = 57,922,802.23/10,074.42
  6. Step 6: Final answer
    x = 5,749.49

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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.