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Finding the Fourth Proportional to 7,642.35, 10,545.80 and 4,284.90

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Solution

The fourth proportional to 7,642.35, 10,545.80 and 4,284.90 is: 5,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.35 : 10,545.80 = 4,284.90 : x
  2. Step 2: Convert to fraction form
    7,642.35/10,545.80 = 4,284.90/x
  3. Step 3: Cross multiply
    7,642.35x = 10,545.80 × 4,284.90
  4. Step 4: Simplify right side
    7,642.35x = 45,187,677.00
  5. Step 5: Solve for x
    x = 45,187,677.00/7,642.35
  6. Step 6: Final answer
    x = 5,912.80

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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.