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Finding the Fourth Proportional to 10,894.47, 16,315.79 and 6,267.75

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Solution

The fourth proportional to 10,894.47, 16,315.79 and 6,267.75 is: 9,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.47 : 16,315.79 = 6,267.75 : x
  2. Step 2: Convert to fraction form
    10,894.47/16,315.79 = 6,267.75/x
  3. Step 3: Cross multiply
    10,894.47x = 16,315.79 × 6,267.75
  4. Step 4: Simplify right side
    10,894.47x = 102,263,261.43
  5. Step 5: Solve for x
    x = 102,263,261.43/10,894.47
  6. Step 6: Final answer
    x = 9,386.71

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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.