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Finding the Fourth Proportional to 10,908.41, 16,362.69 and 4,663.16

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Solution

The fourth proportional to 10,908.41, 16,362.69 and 4,663.16 is: 6,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908.41 : 16,362.69 = 4,663.16 : x
  2. Step 2: Convert to fraction form
    10,908.41/16,362.69 = 4,663.16/x
  3. Step 3: Cross multiply
    10,908.41x = 16,362.69 × 4,663.16
  4. Step 4: Simplify right side
    10,908.41x = 76,301,841.50
  5. Step 5: Solve for x
    x = 76,301,841.50/10,908.41
  6. Step 6: Final answer
    x = 6,994.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.