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Finding the Fourth Proportional to 8,705.87, 13,058.78 and 3,159.20

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Solution

The fourth proportional to 8,705.87, 13,058.78 and 3,159.20 is: 4,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.87 : 13,058.78 = 3,159.20 : x
  2. Step 2: Convert to fraction form
    8,705.87/13,058.78 = 3,159.20/x
  3. Step 3: Cross multiply
    8,705.87x = 13,058.78 × 3,159.20
  4. Step 4: Simplify right side
    8,705.87x = 41,255,281.98
  5. Step 5: Solve for x
    x = 41,255,281.98/8,705.87
  6. Step 6: Final answer
    x = 4,738.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.