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Finding the Fourth Proportional to 8,578.18, 11,838.18 and 5,041.34

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Solution

The fourth proportional to 8,578.18, 11,838.18 and 5,041.34 is: 6,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.18 : 11,838.18 = 5,041.34 : x
  2. Step 2: Convert to fraction form
    8,578.18/11,838.18 = 5,041.34/x
  3. Step 3: Cross multiply
    8,578.18x = 11,838.18 × 5,041.34
  4. Step 4: Simplify right side
    8,578.18x = 59,680,290.36
  5. Step 5: Solve for x
    x = 59,680,290.36/8,578.18
  6. Step 6: Final answer
    x = 6,957.22

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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.