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Finding the Fourth Proportional to 6,705.70, 10,058.58 and 2,812.84

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Solution

The fourth proportional to 6,705.70, 10,058.58 and 2,812.84 is: 4,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.70 : 10,058.58 = 2,812.84 : x
  2. Step 2: Convert to fraction form
    6,705.70/10,058.58 = 2,812.84/x
  3. Step 3: Cross multiply
    6,705.70x = 10,058.58 × 2,812.84
  4. Step 4: Simplify right side
    6,705.70x = 28,293,151.02
  5. Step 5: Solve for x
    x = 28,293,151.02/6,705.70
  6. Step 6: Final answer
    x = 4,219.27

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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.