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Finding the Fourth Proportional to 8,526.21, 11,767.99 and 5,730.09

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Solution

The fourth proportional to 8,526.21, 11,767.99 and 5,730.09 is: 7,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.21 : 11,767.99 = 5,730.09 : x
  2. Step 2: Convert to fraction form
    8,526.21/11,767.99 = 5,730.09/x
  3. Step 3: Cross multiply
    8,526.21x = 11,767.99 × 5,730.09
  4. Step 4: Simplify right side
    8,526.21x = 67,431,682.37
  5. Step 5: Solve for x
    x = 67,431,682.37/8,526.21
  6. Step 6: Final answer
    x = 7,908.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.