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Finding the Fourth Proportional to 7,078.40, 9,772.80 and 6,156.80

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Solution

The fourth proportional to 7,078.40, 9,772.80 and 6,156.80 is: 8,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.40 : 9,772.80 = 6,156.80 : x
  2. Step 2: Convert to fraction form
    7,078.40/9,772.80 = 6,156.80/x
  3. Step 3: Cross multiply
    7,078.40x = 9,772.80 × 6,156.80
  4. Step 4: Simplify right side
    7,078.40x = 60,169,175.04
  5. Step 5: Solve for x
    x = 60,169,175.04/7,078.40
  6. Step 6: Final answer
    x = 8,500.39

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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.