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Finding the Fourth Proportional to 10,266.17, 15,406.16 and 4,025.41

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Solution

The fourth proportional to 10,266.17, 15,406.16 and 4,025.41 is: 6,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.17 : 15,406.16 = 4,025.41 : x
  2. Step 2: Convert to fraction form
    10,266.17/15,406.16 = 4,025.41/x
  3. Step 3: Cross multiply
    10,266.17x = 15,406.16 × 4,025.41
  4. Step 4: Simplify right side
    10,266.17x = 62,016,051.88
  5. Step 5: Solve for x
    x = 62,016,051.88/10,266.17
  6. Step 6: Final answer
    x = 6,040.82

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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.