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Finding the Fourth Proportional to 10,011.98, 15,018.22 and 4,745.72

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Solution

The fourth proportional to 10,011.98, 15,018.22 and 4,745.72 is: 7,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.98 : 15,018.22 = 4,745.72 : x
  2. Step 2: Convert to fraction form
    10,011.98/15,018.22 = 4,745.72/x
  3. Step 3: Cross multiply
    10,011.98x = 15,018.22 × 4,745.72
  4. Step 4: Simplify right side
    10,011.98x = 71,272,310.50
  5. Step 5: Solve for x
    x = 71,272,310.50/10,011.98
  6. Step 6: Final answer
    x = 7,118.70

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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.