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Finding the Fourth Proportional to 8,309.76, 11,467.49 and 5,325.59

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Solution

The fourth proportional to 8,309.76, 11,467.49 and 5,325.59 is: 7,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.76 : 11,467.49 = 5,325.59 : x
  2. Step 2: Convert to fraction form
    8,309.76/11,467.49 = 5,325.59/x
  3. Step 3: Cross multiply
    8,309.76x = 11,467.49 × 5,325.59
  4. Step 4: Simplify right side
    8,309.76x = 61,071,066.10
  5. Step 5: Solve for x
    x = 61,071,066.10/8,309.76
  6. Step 6: Final answer
    x = 7,349.32

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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.