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Finding the Fourth Proportional to 8,269.63, 11,412.35 and 4,733.98

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Solution

The fourth proportional to 8,269.63, 11,412.35 and 4,733.98 is: 6,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.63 : 11,412.35 = 4,733.98 : x
  2. Step 2: Convert to fraction form
    8,269.63/11,412.35 = 4,733.98/x
  3. Step 3: Cross multiply
    8,269.63x = 11,412.35 × 4,733.98
  4. Step 4: Simplify right side
    8,269.63x = 54,025,836.65
  5. Step 5: Solve for x
    x = 54,025,836.65/8,269.63
  6. Step 6: Final answer
    x = 6,533.04

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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.