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Finding the Fourth Proportional to 7,529.64, 11,283.54 and 5,342.64

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Solution

The fourth proportional to 7,529.64, 11,283.54 and 5,342.64 is: 8,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.64 : 11,283.54 = 5,342.64 : x
  2. Step 2: Convert to fraction form
    7,529.64/11,283.54 = 5,342.64/x
  3. Step 3: Cross multiply
    7,529.64x = 11,283.54 × 5,342.64
  4. Step 4: Simplify right side
    7,529.64x = 60,283,892.15
  5. Step 5: Solve for x
    x = 60,283,892.15/7,529.64
  6. Step 6: Final answer
    x = 8,006.21

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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.