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Finding the Fourth Proportional to 10,452.68, 15,678.81 and 4,212.52

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Solution

The fourth proportional to 10,452.68, 15,678.81 and 4,212.52 is: 6,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.68 : 15,678.81 = 4,212.52 : x
  2. Step 2: Convert to fraction form
    10,452.68/15,678.81 = 4,212.52/x
  3. Step 3: Cross multiply
    10,452.68x = 15,678.81 × 4,212.52
  4. Step 4: Simplify right side
    10,452.68x = 66,047,261.50
  5. Step 5: Solve for x
    x = 66,047,261.50/10,452.68
  6. Step 6: Final answer
    x = 6,318.69

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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.