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Finding the Fourth Proportional to 7,620.16, 11,420.82 and 4,497

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Solution

The fourth proportional to 7,620.16, 11,420.82 and 4,497 is: 6,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.16 : 11,420.82 = 4,497 : x
  2. Step 2: Convert to fraction form
    7,620.16/11,420.82 = 4,497/x
  3. Step 3: Cross multiply
    7,620.16x = 11,420.82 × 4,497
  4. Step 4: Simplify right side
    7,620.16x = 51,359,427.54
  5. Step 5: Solve for x
    x = 51,359,427.54/7,620.16
  6. Step 6: Final answer
    x = 6,739.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.