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Finding the Fourth Proportional to 8,347.10, 11,519.55 and 4,810.55

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Solution

The fourth proportional to 8,347.10, 11,519.55 and 4,810.55 is: 6,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.10 : 11,519.55 = 4,810.55 : x
  2. Step 2: Convert to fraction form
    8,347.10/11,519.55 = 4,810.55/x
  3. Step 3: Cross multiply
    8,347.10x = 11,519.55 × 4,810.55
  4. Step 4: Simplify right side
    8,347.10x = 55,415,313.65
  5. Step 5: Solve for x
    x = 55,415,313.65/8,347.10
  6. Step 6: Final answer
    x = 6,638.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.