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Finding the Fourth Proportional to 10,590.94, 15,906.14 and 9,324.92

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Solution

The fourth proportional to 10,590.94, 15,906.14 and 9,324.92 is: 14,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.94 : 15,906.14 = 9,324.92 : x
  2. Step 2: Convert to fraction form
    10,590.94/15,906.14 = 9,324.92/x
  3. Step 3: Cross multiply
    10,590.94x = 15,906.14 × 9,324.92
  4. Step 4: Simplify right side
    10,590.94x = 148,323,511.12
  5. Step 5: Solve for x
    x = 148,323,511.12/10,590.94
  6. Step 6: Final answer
    x = 14,004.76

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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.