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Finding the Fourth Proportional to 7,641.66, 10,545.12 and 4,284.84

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Solution

The fourth proportional to 7,641.66, 10,545.12 and 4,284.84 is: 5,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.66 : 10,545.12 = 4,284.84 : x
  2. Step 2: Convert to fraction form
    7,641.66/10,545.12 = 4,284.84/x
  3. Step 3: Cross multiply
    7,641.66x = 10,545.12 × 4,284.84
  4. Step 4: Simplify right side
    7,641.66x = 45,184,151.98
  5. Step 5: Solve for x
    x = 45,184,151.98/7,641.66
  6. Step 6: Final answer
    x = 5,912.87

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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.