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Finding the Fourth Proportional to 7,620.48, 11,424.24 and 4,536

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Solution

The fourth proportional to 7,620.48, 11,424.24 and 4,536 is: 6,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.48 : 11,424.24 = 4,536 : x
  2. Step 2: Convert to fraction form
    7,620.48/11,424.24 = 4,536/x
  3. Step 3: Cross multiply
    7,620.48x = 11,424.24 × 4,536
  4. Step 4: Simplify right side
    7,620.48x = 51,820,352.64
  5. Step 5: Solve for x
    x = 51,820,352.64/7,620.48
  6. Step 6: Final answer
    x = 6,800.14

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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.