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Finding the Fourth Proportional to 7,572.24, 10,443.74 and 4,920.50

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Solution

The fourth proportional to 7,572.24, 10,443.74 and 4,920.50 is: 6,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.24 : 10,443.74 = 4,920.50 : x
  2. Step 2: Convert to fraction form
    7,572.24/10,443.74 = 4,920.50/x
  3. Step 3: Cross multiply
    7,572.24x = 10,443.74 × 4,920.50
  4. Step 4: Simplify right side
    7,572.24x = 51,388,422.67
  5. Step 5: Solve for x
    x = 51,388,422.67/7,572.24
  6. Step 6: Final answer
    x = 6,786.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.