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Finding the Fourth Proportional to 10,652.10, 15,980.17 and 4,808.69

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Solution

The fourth proportional to 10,652.10, 15,980.17 and 4,808.69 is: 7,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.10 : 15,980.17 = 4,808.69 : x
  2. Step 2: Convert to fraction form
    10,652.10/15,980.17 = 4,808.69/x
  3. Step 3: Cross multiply
    10,652.10x = 15,980.17 × 4,808.69
  4. Step 4: Simplify right side
    10,652.10x = 76,843,683.68
  5. Step 5: Solve for x
    x = 76,843,683.68/10,652.10
  6. Step 6: Final answer
    x = 7,213.95

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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.