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Finding the Fourth Proportional to 10,705.60, 16,058.40 and 5,772.70

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Solution

The fourth proportional to 10,705.60, 16,058.40 and 5,772.70 is: 8,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.60 : 16,058.40 = 5,772.70 : x
  2. Step 2: Convert to fraction form
    10,705.60/16,058.40 = 5,772.70/x
  3. Step 3: Cross multiply
    10,705.60x = 16,058.40 × 5,772.70
  4. Step 4: Simplify right side
    10,705.60x = 92,700,325.68
  5. Step 5: Solve for x
    x = 92,700,325.68/10,705.60
  6. Step 6: Final answer
    x = 8,659.05

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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.