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Finding the Fourth Proportional to 11,222.83, 15,491.46 and 6,977.26

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Solution

The fourth proportional to 11,222.83, 15,491.46 and 6,977.26 is: 9,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.83 : 15,491.46 = 6,977.26 : x
  2. Step 2: Convert to fraction form
    11,222.83/15,491.46 = 6,977.26/x
  3. Step 3: Cross multiply
    11,222.83x = 15,491.46 × 6,977.26
  4. Step 4: Simplify right side
    11,222.83x = 108,087,944.20
  5. Step 5: Solve for x
    x = 108,087,944.20/11,222.83
  6. Step 6: Final answer
    x = 9,631.08

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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.