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Finding the Fourth Proportional to 7,588.42, 11,384.46 and 2,394.28

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Solution

The fourth proportional to 7,588.42, 11,384.46 and 2,394.28 is: 3,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.42 : 11,384.46 = 2,394.28 : x
  2. Step 2: Convert to fraction form
    7,588.42/11,384.46 = 2,394.28/x
  3. Step 3: Cross multiply
    7,588.42x = 11,384.46 × 2,394.28
  4. Step 4: Simplify right side
    7,588.42x = 27,257,584.89
  5. Step 5: Solve for x
    x = 27,257,584.89/7,588.42
  6. Step 6: Final answer
    x = 3,592.00

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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.