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Finding the Fourth Proportional to 10,454.82, 15,686.31 and 4,607.31

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Solution

The fourth proportional to 10,454.82, 15,686.31 and 4,607.31 is: 6,912.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.82 : 15,686.31 = 4,607.31 : x
  2. Step 2: Convert to fraction form
    10,454.82/15,686.31 = 4,607.31/x
  3. Step 3: Cross multiply
    10,454.82x = 15,686.31 × 4,607.31
  4. Step 4: Simplify right side
    10,454.82x = 72,271,692.93
  5. Step 5: Solve for x
    x = 72,271,692.93/10,454.82
  6. Step 6: Final answer
    x = 6,912.76

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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.