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Finding the Fourth Proportional to 10,517.98, 15,783 and 4,276.84

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Solution

The fourth proportional to 10,517.98, 15,783 and 4,276.84 is: 6,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.98 : 15,783 = 4,276.84 : x
  2. Step 2: Convert to fraction form
    10,517.98/15,783 = 4,276.84/x
  3. Step 3: Cross multiply
    10,517.98x = 15,783 × 4,276.84
  4. Step 4: Simplify right side
    10,517.98x = 67,501,365.72
  5. Step 5: Solve for x
    x = 67,501,365.72/10,517.98
  6. Step 6: Final answer
    x = 6,417.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.