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Finding the Fourth Proportional to 8,235.95, 12,354.06 and 5,774.63

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Solution

The fourth proportional to 8,235.95, 12,354.06 and 5,774.63 is: 8,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.95 : 12,354.06 = 5,774.63 : x
  2. Step 2: Convert to fraction form
    8,235.95/12,354.06 = 5,774.63/x
  3. Step 3: Cross multiply
    8,235.95x = 12,354.06 × 5,774.63
  4. Step 4: Simplify right side
    8,235.95x = 71,340,125.50
  5. Step 5: Solve for x
    x = 71,340,125.50/8,235.95
  6. Step 6: Final answer
    x = 8,662.04

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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.