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Finding the Fourth Proportional to 10,502.85, 15,757.35 and 3,107.49

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Solution

The fourth proportional to 10,502.85, 15,757.35 and 3,107.49 is: 4,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.85 : 15,757.35 = 3,107.49 : x
  2. Step 2: Convert to fraction form
    10,502.85/15,757.35 = 3,107.49/x
  3. Step 3: Cross multiply
    10,502.85x = 15,757.35 × 3,107.49
  4. Step 4: Simplify right side
    10,502.85x = 48,965,807.55
  5. Step 5: Solve for x
    x = 48,965,807.55/10,502.85
  6. Step 6: Final answer
    x = 4,662.14

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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.