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Finding the Fourth Proportional to 7,757.98, 10,706.00 and 4,401.45

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Solution

The fourth proportional to 7,757.98, 10,706.00 and 4,401.45 is: 6,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.98 : 10,706.00 = 4,401.45 : x
  2. Step 2: Convert to fraction form
    7,757.98/10,706.00 = 4,401.45/x
  3. Step 3: Cross multiply
    7,757.98x = 10,706.00 × 4,401.45
  4. Step 4: Simplify right side
    7,757.98x = 47,121,901.69
  5. Step 5: Solve for x
    x = 47,121,901.69/7,757.98
  6. Step 6: Final answer
    x = 6,073.99

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