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Finding the Fourth Proportional to 7,786.52, 10,745.04 and 4,802.64

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Solution

The fourth proportional to 7,786.52, 10,745.04 and 4,802.64 is: 6,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.52 : 10,745.04 = 4,802.64 : x
  2. Step 2: Convert to fraction form
    7,786.52/10,745.04 = 4,802.64/x
  3. Step 3: Cross multiply
    7,786.52x = 10,745.04 × 4,802.64
  4. Step 4: Simplify right side
    7,786.52x = 51,604,558.91
  5. Step 5: Solve for x
    x = 51,604,558.91/7,786.52
  6. Step 6: Final answer
    x = 6,627.42

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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.