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Finding the Fourth Proportional to 7,763.00, 10,714.34 and 4,576.11

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Solution

The fourth proportional to 7,763.00, 10,714.34 and 4,576.11 is: 6,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.00 : 10,714.34 = 4,576.11 : x
  2. Step 2: Convert to fraction form
    7,763.00/10,714.34 = 4,576.11/x
  3. Step 3: Cross multiply
    7,763.00x = 10,714.34 × 4,576.11
  4. Step 4: Simplify right side
    7,763.00x = 49,029,952.52
  5. Step 5: Solve for x
    x = 49,029,952.52/7,763.00
  6. Step 6: Final answer
    x = 6,315.85

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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.