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Finding the Fourth Proportional to 10,062.15, 15,093.22 and 3,822.16

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Solution

The fourth proportional to 10,062.15, 15,093.22 and 3,822.16 is: 5,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.15 : 15,093.22 = 3,822.16 : x
  2. Step 2: Convert to fraction form
    10,062.15/15,093.22 = 3,822.16/x
  3. Step 3: Cross multiply
    10,062.15x = 15,093.22 × 3,822.16
  4. Step 4: Simplify right side
    10,062.15x = 57,688,701.76
  5. Step 5: Solve for x
    x = 57,688,701.76/10,062.15
  6. Step 6: Final answer
    x = 5,733.24

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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.