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Finding the Fourth Proportional to 10,503.30, 15,758.31 and 3,107.82

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Solution

The fourth proportional to 10,503.30, 15,758.31 and 3,107.82 is: 4,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.30 : 15,758.31 = 3,107.82 : x
  2. Step 2: Convert to fraction form
    10,503.30/15,758.31 = 3,107.82/x
  3. Step 3: Cross multiply
    10,503.30x = 15,758.31 × 3,107.82
  4. Step 4: Simplify right side
    10,503.30x = 48,973,990.98
  5. Step 5: Solve for x
    x = 48,973,990.98/10,503.30
  6. Step 6: Final answer
    x = 4,662.72

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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.