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Finding the Fourth Proportional to 10,442.10, 14,408.77 and 5,966.14

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Solution

The fourth proportional to 10,442.10, 14,408.77 and 5,966.14 is: 8,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.10 : 14,408.77 = 5,966.14 : x
  2. Step 2: Convert to fraction form
    10,442.10/14,408.77 = 5,966.14/x
  3. Step 3: Cross multiply
    10,442.10x = 14,408.77 × 5,966.14
  4. Step 4: Simplify right side
    10,442.10x = 85,964,812.27
  5. Step 5: Solve for x
    x = 85,964,812.27/10,442.10
  6. Step 6: Final answer
    x = 8,232.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.