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Finding the Fourth Proportional to 10,428.99, 14,391.41 and 6,180.45

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Solution

The fourth proportional to 10,428.99, 14,391.41 and 6,180.45 is: 8,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.99 : 14,391.41 = 6,180.45 : x
  2. Step 2: Convert to fraction form
    10,428.99/14,391.41 = 6,180.45/x
  3. Step 3: Cross multiply
    10,428.99x = 14,391.41 × 6,180.45
  4. Step 4: Simplify right side
    10,428.99x = 88,945,305.06
  5. Step 5: Solve for x
    x = 88,945,305.06/10,428.99
  6. Step 6: Final answer
    x = 8,528.66

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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.