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Finding the Fourth Proportional to 7,529.84, 11,296.32 and 2,264.64

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Solution

The fourth proportional to 7,529.84, 11,296.32 and 2,264.64 is: 3,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.84 : 11,296.32 = 2,264.64 : x
  2. Step 2: Convert to fraction form
    7,529.84/11,296.32 = 2,264.64/x
  3. Step 3: Cross multiply
    7,529.84x = 11,296.32 × 2,264.64
  4. Step 4: Simplify right side
    7,529.84x = 25,582,098.12
  5. Step 5: Solve for x
    x = 25,582,098.12/7,529.84
  6. Step 6: Final answer
    x = 3,397.43

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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.