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Finding the Fourth Proportional to 10,162.59, 15,233.08 and 4,894.31

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Solution

The fourth proportional to 10,162.59, 15,233.08 and 4,894.31 is: 7,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.59 : 15,233.08 = 4,894.31 : x
  2. Step 2: Convert to fraction form
    10,162.59/15,233.08 = 4,894.31/x
  3. Step 3: Cross multiply
    10,162.59x = 15,233.08 × 4,894.31
  4. Step 4: Simplify right side
    10,162.59x = 74,555,415.77
  5. Step 5: Solve for x
    x = 74,555,415.77/10,162.59
  6. Step 6: Final answer
    x = 7,336.26

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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.