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Finding the Fourth Proportional to 8,561.50, 11,793 and 6,568.63

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Solution

The fourth proportional to 8,561.50, 11,793 and 6,568.63 is: 9,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.50 : 11,793 = 6,568.63 : x
  2. Step 2: Convert to fraction form
    8,561.50/11,793 = 6,568.63/x
  3. Step 3: Cross multiply
    8,561.50x = 11,793 × 6,568.63
  4. Step 4: Simplify right side
    8,561.50x = 77,463,853.59
  5. Step 5: Solve for x
    x = 77,463,853.59/8,561.50
  6. Step 6: Final answer
    x = 9,047.93

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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.