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Finding the Fourth Proportional to 7,817.50, 10,788.15 and 4,280.84

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Solution

The fourth proportional to 7,817.50, 10,788.15 and 4,280.84 is: 5,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.50 : 10,788.15 = 4,280.84 : x
  2. Step 2: Convert to fraction form
    7,817.50/10,788.15 = 4,280.84/x
  3. Step 3: Cross multiply
    7,817.50x = 10,788.15 × 4,280.84
  4. Step 4: Simplify right side
    7,817.50x = 46,182,344.05
  5. Step 5: Solve for x
    x = 46,182,344.05/7,817.50
  6. Step 6: Final answer
    x = 5,907.56

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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.