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Finding the Fourth Proportional to 7,259.69, 10,896.22 and 4,491.77

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Solution

The fourth proportional to 7,259.69, 10,896.22 and 4,491.77 is: 6,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,259.69 : 10,896.22 = 4,491.77 : x
  2. Step 2: Convert to fraction form
    7,259.69/10,896.22 = 4,491.77/x
  3. Step 3: Cross multiply
    7,259.69x = 10,896.22 × 4,491.77
  4. Step 4: Simplify right side
    7,259.69x = 48,943,248.40
  5. Step 5: Solve for x
    x = 48,943,248.40/7,259.69
  6. Step 6: Final answer
    x = 6,741.78

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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.