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Finding the Fourth Proportional to 8,387.29, 11,569.63 and 5,238.01

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Solution

The fourth proportional to 8,387.29, 11,569.63 and 5,238.01 is: 7,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.29 : 11,569.63 = 5,238.01 : x
  2. Step 2: Convert to fraction form
    8,387.29/11,569.63 = 5,238.01/x
  3. Step 3: Cross multiply
    8,387.29x = 11,569.63 × 5,238.01
  4. Step 4: Simplify right side
    8,387.29x = 60,601,839.00
  5. Step 5: Solve for x
    x = 60,601,839.00/8,387.29
  6. Step 6: Final answer
    x = 7,225.44

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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.