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Finding the Fourth Proportional to 8,374.16, 12,563.15 and 3,695.49

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Solution

The fourth proportional to 8,374.16, 12,563.15 and 3,695.49 is: 5,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.16 : 12,563.15 = 3,695.49 : x
  2. Step 2: Convert to fraction form
    8,374.16/12,563.15 = 3,695.49/x
  3. Step 3: Cross multiply
    8,374.16x = 12,563.15 × 3,695.49
  4. Step 4: Simplify right side
    8,374.16x = 46,426,976.72
  5. Step 5: Solve for x
    x = 46,426,976.72/8,374.16
  6. Step 6: Final answer
    x = 5,544.08

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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.