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Finding the Fourth Proportional to 8,578.04, 11,837.76 and 4,852.04

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Solution

The fourth proportional to 8,578.04, 11,837.76 and 4,852.04 is: 6,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.04 : 11,837.76 = 4,852.04 : x
  2. Step 2: Convert to fraction form
    8,578.04/11,837.76 = 4,852.04/x
  3. Step 3: Cross multiply
    8,578.04x = 11,837.76 × 4,852.04
  4. Step 4: Simplify right side
    8,578.04x = 57,437,285.03
  5. Step 5: Solve for x
    x = 57,437,285.03/8,578.04
  6. Step 6: Final answer
    x = 6,695.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.