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Finding the Fourth Proportional to 7,564.79, 11,348.10 and 3,181.07

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Solution

The fourth proportional to 7,564.79, 11,348.10 and 3,181.07 is: 4,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.79 : 11,348.10 = 3,181.07 : x
  2. Step 2: Convert to fraction form
    7,564.79/11,348.10 = 3,181.07/x
  3. Step 3: Cross multiply
    7,564.79x = 11,348.10 × 3,181.07
  4. Step 4: Simplify right side
    7,564.79x = 36,099,128.84
  5. Step 5: Solve for x
    x = 36,099,128.84/7,564.79
  6. Step 6: Final answer
    x = 4,771.99

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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.