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Finding the Fourth Proportional to 10,386.50, 15,584.31 and 5,454.99

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Solution

The fourth proportional to 10,386.50, 15,584.31 and 5,454.99 is: 8,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.50 : 15,584.31 = 5,454.99 : x
  2. Step 2: Convert to fraction form
    10,386.50/15,584.31 = 5,454.99/x
  3. Step 3: Cross multiply
    10,386.50x = 15,584.31 × 5,454.99
  4. Step 4: Simplify right side
    10,386.50x = 85,012,255.21
  5. Step 5: Solve for x
    x = 85,012,255.21/10,386.50
  6. Step 6: Final answer
    x = 8,184.88

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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.