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Finding the Fourth Proportional to 10,454.61, 15,678.61 and 3,433.47

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Solution

The fourth proportional to 10,454.61, 15,678.61 and 3,433.47 is: 5,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.61 : 15,678.61 = 3,433.47 : x
  2. Step 2: Convert to fraction form
    10,454.61/15,678.61 = 3,433.47/x
  3. Step 3: Cross multiply
    10,454.61x = 15,678.61 × 3,433.47
  4. Step 4: Simplify right side
    10,454.61x = 53,832,037.94
  5. Step 5: Solve for x
    x = 53,832,037.94/10,454.61
  6. Step 6: Final answer
    x = 5,149.12

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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.