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Finding the Fourth Proportional to 7,709.98, 11,569.02 and 4,202.50

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Solution

The fourth proportional to 7,709.98, 11,569.02 and 4,202.50 is: 6,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.98 : 11,569.02 = 4,202.50 : x
  2. Step 2: Convert to fraction form
    7,709.98/11,569.02 = 4,202.50/x
  3. Step 3: Cross multiply
    7,709.98x = 11,569.02 × 4,202.50
  4. Step 4: Simplify right side
    7,709.98x = 48,618,806.55
  5. Step 5: Solve for x
    x = 48,618,806.55/7,709.98
  6. Step 6: Final answer
    x = 6,305.96

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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.