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Finding the Fourth Proportional to 10,582.92, 14,603.94 and 5,867.10

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Solution

The fourth proportional to 10,582.92, 14,603.94 and 5,867.10 is: 8,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.92 : 14,603.94 = 5,867.10 : x
  2. Step 2: Convert to fraction form
    10,582.92/14,603.94 = 5,867.10/x
  3. Step 3: Cross multiply
    10,582.92x = 14,603.94 × 5,867.10
  4. Step 4: Simplify right side
    10,582.92x = 85,682,776.37
  5. Step 5: Solve for x
    x = 85,682,776.37/10,582.92
  6. Step 6: Final answer
    x = 8,096.33

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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.