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Finding the Fourth Proportional to 8,117.52, 11,191.06 and 5,131.86

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Solution

The fourth proportional to 8,117.52, 11,191.06 and 5,131.86 is: 7,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.52 : 11,191.06 = 5,131.86 : x
  2. Step 2: Convert to fraction form
    8,117.52/11,191.06 = 5,131.86/x
  3. Step 3: Cross multiply
    8,117.52x = 11,191.06 × 5,131.86
  4. Step 4: Simplify right side
    8,117.52x = 57,430,953.17
  5. Step 5: Solve for x
    x = 57,430,953.17/8,117.52
  6. Step 6: Final answer
    x = 7,074.94

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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.