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Finding the Fourth Proportional to 10,442.55, 14,409.78 and 5,966.29

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Solution

The fourth proportional to 10,442.55, 14,409.78 and 5,966.29 is: 8,232.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.55 : 14,409.78 = 5,966.29 : x
  2. Step 2: Convert to fraction form
    10,442.55/14,409.78 = 5,966.29/x
  3. Step 3: Cross multiply
    10,442.55x = 14,409.78 × 5,966.29
  4. Step 4: Simplify right side
    10,442.55x = 85,972,854.27
  5. Step 5: Solve for x
    x = 85,972,854.27/10,442.55
  6. Step 6: Final answer
    x = 8,232.94

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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.