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Finding the Fourth Proportional to 8,547.94, 12,824.52 and 5,174.56

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Solution

The fourth proportional to 8,547.94, 12,824.52 and 5,174.56 is: 7,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.94 : 12,824.52 = 5,174.56 : x
  2. Step 2: Convert to fraction form
    8,547.94/12,824.52 = 5,174.56/x
  3. Step 3: Cross multiply
    8,547.94x = 12,824.52 × 5,174.56
  4. Step 4: Simplify right side
    8,547.94x = 66,361,248.21
  5. Step 5: Solve for x
    x = 66,361,248.21/8,547.94
  6. Step 6: Final answer
    x = 7,763.42

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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.