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Finding the Fourth Proportional to 6,706.51, 10,058.59 and 3,747.91

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Solution

The fourth proportional to 6,706.51, 10,058.59 and 3,747.91 is: 5,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.51 : 10,058.59 = 3,747.91 : x
  2. Step 2: Convert to fraction form
    6,706.51/10,058.59 = 3,747.91/x
  3. Step 3: Cross multiply
    6,706.51x = 10,058.59 × 3,747.91
  4. Step 4: Simplify right side
    6,706.51x = 37,698,690.05
  5. Step 5: Solve for x
    x = 37,698,690.05/6,706.51
  6. Step 6: Final answer
    x = 5,621.21

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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.