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Finding the Fourth Proportional to 10,128, 15,199.83 and 7,029.75

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Solution

The fourth proportional to 10,128, 15,199.83 and 7,029.75 is: 10,550.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128 : 15,199.83 = 7,029.75 : x
  2. Step 2: Convert to fraction form
    10,128/15,199.83 = 7,029.75/x
  3. Step 3: Cross multiply
    10,128x = 15,199.83 × 7,029.75
  4. Step 4: Simplify right side
    10,128x = 106,851,004.94
  5. Step 5: Solve for x
    x = 106,851,004.94/10,128
  6. Step 6: Final answer
    x = 10,550.06

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