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Finding the Fourth Proportional to 7,643.44, 11,455.56 and 4,133.30

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Solution

The fourth proportional to 7,643.44, 11,455.56 and 4,133.30 is: 6,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.44 : 11,455.56 = 4,133.30 : x
  2. Step 2: Convert to fraction form
    7,643.44/11,455.56 = 4,133.30/x
  3. Step 3: Cross multiply
    7,643.44x = 11,455.56 × 4,133.30
  4. Step 4: Simplify right side
    7,643.44x = 47,349,266.15
  5. Step 5: Solve for x
    x = 47,349,266.15/7,643.44
  6. Step 6: Final answer
    x = 6,194.76

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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.