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Finding the Fourth Proportional to 7,427.70, 11,141.55 and 6,822.90

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Solution

The fourth proportional to 7,427.70, 11,141.55 and 6,822.90 is: 10,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.70 : 11,141.55 = 6,822.90 : x
  2. Step 2: Convert to fraction form
    7,427.70/11,141.55 = 6,822.90/x
  3. Step 3: Cross multiply
    7,427.70x = 11,141.55 × 6,822.90
  4. Step 4: Simplify right side
    7,427.70x = 76,017,681.50
  5. Step 5: Solve for x
    x = 76,017,681.50/7,427.70
  6. Step 6: Final answer
    x = 10,234.35

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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.