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Finding the Fourth Proportional to 7,692, 10,616.80 and 4,710.32

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Solution

The fourth proportional to 7,692, 10,616.80 and 4,710.32 is: 6,501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 10,616.80 = 4,710.32 : x
  2. Step 2: Convert to fraction form
    7,692/10,616.80 = 4,710.32/x
  3. Step 3: Cross multiply
    7,692x = 10,616.80 × 4,710.32
  4. Step 4: Simplify right side
    7,692x = 50,008,525.38
  5. Step 5: Solve for x
    x = 50,008,525.38/7,692
  6. Step 6: Final answer
    x = 6,501.37

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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.