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Finding the Fourth Proportional to 7,701.84, 11,550.29 and 2,506.50

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Solution

The fourth proportional to 7,701.84, 11,550.29 and 2,506.50 is: 3,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.84 : 11,550.29 = 2,506.50 : x
  2. Step 2: Convert to fraction form
    7,701.84/11,550.29 = 2,506.50/x
  3. Step 3: Cross multiply
    7,701.84x = 11,550.29 × 2,506.50
  4. Step 4: Simplify right side
    7,701.84x = 28,950,789.35
  5. Step 5: Solve for x
    x = 28,950,789.35/7,701.84
  6. Step 6: Final answer
    x = 3,758.94

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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.