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Finding the Fourth Proportional to 10,464.68, 15,683.66 and 4,905.78

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Solution

The fourth proportional to 10,464.68, 15,683.66 and 4,905.78 is: 7,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.68 : 15,683.66 = 4,905.78 : x
  2. Step 2: Convert to fraction form
    10,464.68/15,683.66 = 4,905.78/x
  3. Step 3: Cross multiply
    10,464.68x = 15,683.66 × 4,905.78
  4. Step 4: Simplify right side
    10,464.68x = 76,940,636.42
  5. Step 5: Solve for x
    x = 76,940,636.42/10,464.68
  6. Step 6: Final answer
    x = 7,352.41

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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.