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Finding the Fourth Proportional to 10,442.42, 14,409.61 and 5,966.16

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Solution

The fourth proportional to 10,442.42, 14,409.61 and 5,966.16 is: 8,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.42 : 14,409.61 = 5,966.16 : x
  2. Step 2: Convert to fraction form
    10,442.42/14,409.61 = 5,966.16/x
  3. Step 3: Cross multiply
    10,442.42x = 14,409.61 × 5,966.16
  4. Step 4: Simplify right side
    10,442.42x = 85,970,023.88
  5. Step 5: Solve for x
    x = 85,970,023.88/10,442.42
  6. Step 6: Final answer
    x = 8,232.77

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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.