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Finding the Fourth Proportional to 10,601.96, 15,901.62 and 6,162.08

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Solution

The fourth proportional to 10,601.96, 15,901.62 and 6,162.08 is: 9,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.96 : 15,901.62 = 6,162.08 : x
  2. Step 2: Convert to fraction form
    10,601.96/15,901.62 = 6,162.08/x
  3. Step 3: Cross multiply
    10,601.96x = 15,901.62 × 6,162.08
  4. Step 4: Simplify right side
    10,601.96x = 97,987,054.57
  5. Step 5: Solve for x
    x = 97,987,054.57/10,601.96
  6. Step 6: Final answer
    x = 9,242.35

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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.