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Finding the Fourth Proportional to 7,948.36, 10,968.92 and 4,411.80

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Solution

The fourth proportional to 7,948.36, 10,968.92 and 4,411.80 is: 6,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.36 : 10,968.92 = 4,411.80 : x
  2. Step 2: Convert to fraction form
    7,948.36/10,968.92 = 4,411.80/x
  3. Step 3: Cross multiply
    7,948.36x = 10,968.92 × 4,411.80
  4. Step 4: Simplify right side
    7,948.36x = 48,392,675.74
  5. Step 5: Solve for x
    x = 48,392,675.74/7,948.36
  6. Step 6: Final answer
    x = 6,088.38

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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.