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Finding the Fourth Proportional to 10,816.93, 14,928.06 and 6,101.11

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Solution

The fourth proportional to 10,816.93, 14,928.06 and 6,101.11 is: 8,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.93 : 14,928.06 = 6,101.11 : x
  2. Step 2: Convert to fraction form
    10,816.93/14,928.06 = 6,101.11/x
  3. Step 3: Cross multiply
    10,816.93x = 14,928.06 × 6,101.11
  4. Step 4: Simplify right side
    10,816.93x = 91,077,736.15
  5. Step 5: Solve for x
    x = 91,077,736.15/10,816.93
  6. Step 6: Final answer
    x = 8,419.92

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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.