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Finding the Fourth Proportional to 6,134.10, 8,406.07 and 5,543.61

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Solution

The fourth proportional to 6,134.10, 8,406.07 and 5,543.61 is: 7,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.10 : 8,406.07 = 5,543.61 : x
  2. Step 2: Convert to fraction form
    6,134.10/8,406.07 = 5,543.61/x
  3. Step 3: Cross multiply
    6,134.10x = 8,406.07 × 5,543.61
  4. Step 4: Simplify right side
    6,134.10x = 46,599,973.71
  5. Step 5: Solve for x
    x = 46,599,973.71/6,134.10
  6. Step 6: Final answer
    x = 7,596.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.