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Finding the Fourth Proportional to 10,830.99, 14,949.14 and 6,857.40

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Solution

The fourth proportional to 10,830.99, 14,949.14 and 6,857.40 is: 9,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.99 : 14,949.14 = 6,857.40 : x
  2. Step 2: Convert to fraction form
    10,830.99/14,949.14 = 6,857.40/x
  3. Step 3: Cross multiply
    10,830.99x = 14,949.14 × 6,857.40
  4. Step 4: Simplify right side
    10,830.99x = 102,512,198.35
  5. Step 5: Solve for x
    x = 102,512,198.35/10,830.99
  6. Step 6: Final answer
    x = 9,464.71

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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.