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Finding the Fourth Proportional to 8,539.51, 12,800.49 and 6,193.66

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Solution

The fourth proportional to 8,539.51, 12,800.49 and 6,193.66 is: 9,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.51 : 12,800.49 = 6,193.66 : x
  2. Step 2: Convert to fraction form
    8,539.51/12,800.49 = 6,193.66/x
  3. Step 3: Cross multiply
    8,539.51x = 12,800.49 × 6,193.66
  4. Step 4: Simplify right side
    8,539.51x = 79,281,882.89
  5. Step 5: Solve for x
    x = 79,281,882.89/8,539.51
  6. Step 6: Final answer
    x = 9,284.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.