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Finding the Fourth Proportional to 7,563, 11,343.22 and 2,296.74

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Solution

The fourth proportional to 7,563, 11,343.22 and 2,296.74 is: 3,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563 : 11,343.22 = 2,296.74 : x
  2. Step 2: Convert to fraction form
    7,563/11,343.22 = 2,296.74/x
  3. Step 3: Cross multiply
    7,563x = 11,343.22 × 2,296.74
  4. Step 4: Simplify right side
    7,563x = 26,052,427.10
  5. Step 5: Solve for x
    x = 26,052,427.10/7,563
  6. Step 6: Final answer
    x = 3,444.72

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Why These Related Problems?

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