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Finding the Fourth Proportional to 7,706.39, 10,639.40 and 5,058.44

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Solution

The fourth proportional to 7,706.39, 10,639.40 and 5,058.44 is: 6,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.39 : 10,639.40 = 5,058.44 : x
  2. Step 2: Convert to fraction form
    7,706.39/10,639.40 = 5,058.44/x
  3. Step 3: Cross multiply
    7,706.39x = 10,639.40 × 5,058.44
  4. Step 4: Simplify right side
    7,706.39x = 53,818,688.05
  5. Step 5: Solve for x
    x = 53,818,688.05/7,706.39
  6. Step 6: Final answer
    x = 6,983.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.