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Finding the Fourth Proportional to 7,700.13, 11,550.83 and 2,435.50

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Solution

The fourth proportional to 7,700.13, 11,550.83 and 2,435.50 is: 3,653.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.13 : 11,550.83 = 2,435.50 : x
  2. Step 2: Convert to fraction form
    7,700.13/11,550.83 = 2,435.50/x
  3. Step 3: Cross multiply
    7,700.13x = 11,550.83 × 2,435.50
  4. Step 4: Simplify right side
    7,700.13x = 28,132,048.73
  5. Step 5: Solve for x
    x = 28,132,048.73/7,700.13
  6. Step 6: Final answer
    x = 3,653.45

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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.