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Finding the Fourth Proportional to 10,812.36, 16,186.94 and 9,774.75

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Solution

The fourth proportional to 10,812.36, 16,186.94 and 9,774.75 is: 14,633.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.36 : 16,186.94 = 9,774.75 : x
  2. Step 2: Convert to fraction form
    10,812.36/16,186.94 = 9,774.75/x
  3. Step 3: Cross multiply
    10,812.36x = 16,186.94 × 9,774.75
  4. Step 4: Simplify right side
    10,812.36x = 158,223,291.77
  5. Step 5: Solve for x
    x = 158,223,291.77/10,812.36
  6. Step 6: Final answer
    x = 14,633.56

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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.