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Finding the Fourth Proportional to 10,142.54, 15,215.02 and 3,901.10

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Solution

The fourth proportional to 10,142.54, 15,215.02 and 3,901.10 is: 5,852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.54 : 15,215.02 = 3,901.10 : x
  2. Step 2: Convert to fraction form
    10,142.54/15,215.02 = 3,901.10/x
  3. Step 3: Cross multiply
    10,142.54x = 15,215.02 × 3,901.10
  4. Step 4: Simplify right side
    10,142.54x = 59,355,314.52
  5. Step 5: Solve for x
    x = 59,355,314.52/10,142.54
  6. Step 6: Final answer
    x = 5,852.12

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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.