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Finding the Fourth Proportional to 7,011.75, 10,509.55 and 2,847.19

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Solution

The fourth proportional to 7,011.75, 10,509.55 and 2,847.19 is: 4,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.75 : 10,509.55 = 2,847.19 : x
  2. Step 2: Convert to fraction form
    7,011.75/10,509.55 = 2,847.19/x
  3. Step 3: Cross multiply
    7,011.75x = 10,509.55 × 2,847.19
  4. Step 4: Simplify right side
    7,011.75x = 29,922,662.95
  5. Step 5: Solve for x
    x = 29,922,662.95/7,011.75
  6. Step 6: Final answer
    x = 4,267.50

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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.