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Finding the Fourth Proportional to 10,857.71, 16,289.01 and 4,617.95

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Solution

The fourth proportional to 10,857.71, 16,289.01 and 4,617.95 is: 6,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.71 : 16,289.01 = 4,617.95 : x
  2. Step 2: Convert to fraction form
    10,857.71/16,289.01 = 4,617.95/x
  3. Step 3: Cross multiply
    10,857.71x = 16,289.01 × 4,617.95
  4. Step 4: Simplify right side
    10,857.71x = 75,221,752.28
  5. Step 5: Solve for x
    x = 75,221,752.28/10,857.71
  6. Step 6: Final answer
    x = 6,927.96

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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.