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Finding the Fourth Proportional to 8,235.24, 11,364.26 and 4,509.16

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Solution

The fourth proportional to 8,235.24, 11,364.26 and 4,509.16 is: 6,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.24 : 11,364.26 = 4,509.16 : x
  2. Step 2: Convert to fraction form
    8,235.24/11,364.26 = 4,509.16/x
  3. Step 3: Cross multiply
    8,235.24x = 11,364.26 × 4,509.16
  4. Step 4: Simplify right side
    8,235.24x = 51,243,266.62
  5. Step 5: Solve for x
    x = 51,243,266.62/8,235.24
  6. Step 6: Final answer
    x = 6,222.44

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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.