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Finding the Fourth Proportional to 8,733.93, 12,047.31 and 5,194.50

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Solution

The fourth proportional to 8,733.93, 12,047.31 and 5,194.50 is: 7,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733.93 : 12,047.31 = 5,194.50 : x
  2. Step 2: Convert to fraction form
    8,733.93/12,047.31 = 5,194.50/x
  3. Step 3: Cross multiply
    8,733.93x = 12,047.31 × 5,194.50
  4. Step 4: Simplify right side
    8,733.93x = 62,579,751.80
  5. Step 5: Solve for x
    x = 62,579,751.80/8,733.93
  6. Step 6: Final answer
    x = 7,165.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.