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Finding the Fourth Proportional to 8,430.86, 11,615.60 and 5,876.22

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Solution

The fourth proportional to 8,430.86, 11,615.60 and 5,876.22 is: 8,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.86 : 11,615.60 = 5,876.22 : x
  2. Step 2: Convert to fraction form
    8,430.86/11,615.60 = 5,876.22/x
  3. Step 3: Cross multiply
    8,430.86x = 11,615.60 × 5,876.22
  4. Step 4: Simplify right side
    8,430.86x = 68,255,821.03
  5. Step 5: Solve for x
    x = 68,255,821.03/8,430.86
  6. Step 6: Final answer
    x = 8,095.95

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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.