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Finding the Fourth Proportional to 11,370.69, 17,071.92 and 5,827.86

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Solution

The fourth proportional to 11,370.69, 17,071.92 and 5,827.86 is: 8,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370.69 : 17,071.92 = 5,827.86 : x
  2. Step 2: Convert to fraction form
    11,370.69/17,071.92 = 5,827.86/x
  3. Step 3: Cross multiply
    11,370.69x = 17,071.92 × 5,827.86
  4. Step 4: Simplify right side
    11,370.69x = 99,492,759.69
  5. Step 5: Solve for x
    x = 99,492,759.69/11,370.69
  6. Step 6: Final answer
    x = 8,749.93

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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.