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Finding the Fourth Proportional to 7,647.19, 11,475.64 and 3,264.68

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Solution

The fourth proportional to 7,647.19, 11,475.64 and 3,264.68 is: 4,899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.19 : 11,475.64 = 3,264.68 : x
  2. Step 2: Convert to fraction form
    7,647.19/11,475.64 = 3,264.68/x
  3. Step 3: Cross multiply
    7,647.19x = 11,475.64 × 3,264.68
  4. Step 4: Simplify right side
    7,647.19x = 37,464,292.40
  5. Step 5: Solve for x
    x = 37,464,292.40/7,647.19
  6. Step 6: Final answer
    x = 4,899.09

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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.