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Finding the Fourth Proportional to 8,444.98, 12,666.72 and 3,765.22

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Solution

The fourth proportional to 8,444.98, 12,666.72 and 3,765.22 is: 5,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.98 : 12,666.72 = 3,765.22 : x
  2. Step 2: Convert to fraction form
    8,444.98/12,666.72 = 3,765.22/x
  3. Step 3: Cross multiply
    8,444.98x = 12,666.72 × 3,765.22
  4. Step 4: Simplify right side
    8,444.98x = 47,692,987.48
  5. Step 5: Solve for x
    x = 47,692,987.48/8,444.98
  6. Step 6: Final answer
    x = 5,647.50

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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.