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Finding the Fourth Proportional to 10,442.52, 14,411.39 and 5,903.64

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Solution

The fourth proportional to 10,442.52, 14,411.39 and 5,903.64 is: 8,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.52 : 14,411.39 = 5,903.64 : x
  2. Step 2: Convert to fraction form
    10,442.52/14,411.39 = 5,903.64/x
  3. Step 3: Cross multiply
    10,442.52x = 14,411.39 × 5,903.64
  4. Step 4: Simplify right side
    10,442.52x = 85,079,628.94
  5. Step 5: Solve for x
    x = 85,079,628.94/10,442.52
  6. Step 6: Final answer
    x = 8,147.42

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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.