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Finding the Fourth Proportional to 7,641.95, 10,546.15 and 4,284.80

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Solution

The fourth proportional to 7,641.95, 10,546.15 and 4,284.80 is: 5,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.95 : 10,546.15 = 4,284.80 : x
  2. Step 2: Convert to fraction form
    7,641.95/10,546.15 = 4,284.80/x
  3. Step 3: Cross multiply
    7,641.95x = 10,546.15 × 4,284.80
  4. Step 4: Simplify right side
    7,641.95x = 45,188,143.52
  5. Step 5: Solve for x
    x = 45,188,143.52/7,641.95
  6. Step 6: Final answer
    x = 5,913.17

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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.