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Finding the Fourth Proportional to 10,124.72, 13,978.44 and 7,762.32

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Solution

The fourth proportional to 10,124.72, 13,978.44 and 7,762.32 is: 10,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.72 : 13,978.44 = 7,762.32 : x
  2. Step 2: Convert to fraction form
    10,124.72/13,978.44 = 7,762.32/x
  3. Step 3: Cross multiply
    10,124.72x = 13,978.44 × 7,762.32
  4. Step 4: Simplify right side
    10,124.72x = 108,505,124.38
  5. Step 5: Solve for x
    x = 108,505,124.38/10,124.72
  6. Step 6: Final answer
    x = 10,716.85

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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.