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Finding the Fourth Proportional to 8,753.10, 13,130.31 and 2,513.07

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Solution

The fourth proportional to 8,753.10, 13,130.31 and 2,513.07 is: 3,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,753.10 : 13,130.31 = 2,513.07 : x
  2. Step 2: Convert to fraction form
    8,753.10/13,130.31 = 2,513.07/x
  3. Step 3: Cross multiply
    8,753.10x = 13,130.31 × 2,513.07
  4. Step 4: Simplify right side
    8,753.10x = 32,997,322.50
  5. Step 5: Solve for x
    x = 32,997,322.50/8,753.10
  6. Step 6: Final answer
    x = 3,769.79

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Why These Related Problems?

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