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Finding the Fourth Proportional to 7,728.04, 10,666.38 and 4,745.44

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Solution

The fourth proportional to 7,728.04, 10,666.38 and 4,745.44 is: 6,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.04 : 10,666.38 = 4,745.44 : x
  2. Step 2: Convert to fraction form
    7,728.04/10,666.38 = 4,745.44/x
  3. Step 3: Cross multiply
    7,728.04x = 10,666.38 × 4,745.44
  4. Step 4: Simplify right side
    7,728.04x = 50,616,666.31
  5. Step 5: Solve for x
    x = 50,616,666.31/7,728.04
  6. Step 6: Final answer
    x = 6,549.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.