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Finding the Fourth Proportional to 7,773.04, 11,644.98 and 6,033.16

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Solution

The fourth proportional to 7,773.04, 11,644.98 and 6,033.16 is: 9,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.04 : 11,644.98 = 6,033.16 : x
  2. Step 2: Convert to fraction form
    7,773.04/11,644.98 = 6,033.16/x
  3. Step 3: Cross multiply
    7,773.04x = 11,644.98 × 6,033.16
  4. Step 4: Simplify right side
    7,773.04x = 70,256,027.54
  5. Step 5: Solve for x
    x = 70,256,027.54/7,773.04
  6. Step 6: Final answer
    x = 9,038.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.