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Finding the Fourth Proportional to 7,543.94, 10,414.98 and 6,559.79

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Solution

The fourth proportional to 7,543.94, 10,414.98 and 6,559.79 is: 9,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.94 : 10,414.98 = 6,559.79 : x
  2. Step 2: Convert to fraction form
    7,543.94/10,414.98 = 6,559.79/x
  3. Step 3: Cross multiply
    7,543.94x = 10,414.98 × 6,559.79
  4. Step 4: Simplify right side
    7,543.94x = 68,320,029.58
  5. Step 5: Solve for x
    x = 68,320,029.58/7,543.94
  6. Step 6: Final answer
    x = 9,056.29

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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.