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Finding the Fourth Proportional to 10,483.68, 15,723.08 and 4,940.86

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Solution

The fourth proportional to 10,483.68, 15,723.08 and 4,940.86 is: 7,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.68 : 15,723.08 = 4,940.86 : x
  2. Step 2: Convert to fraction form
    10,483.68/15,723.08 = 4,940.86/x
  3. Step 3: Cross multiply
    10,483.68x = 15,723.08 × 4,940.86
  4. Step 4: Simplify right side
    10,483.68x = 77,685,537.05
  5. Step 5: Solve for x
    x = 77,685,537.05/10,483.68
  6. Step 6: Final answer
    x = 7,410.14

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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.