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Finding the Fourth Proportional to 8,567.20, 12,778.52 and 7,812.64

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Solution

The fourth proportional to 8,567.20, 12,778.52 and 7,812.64 is: 11,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.20 : 12,778.52 = 7,812.64 : x
  2. Step 2: Convert to fraction form
    8,567.20/12,778.52 = 7,812.64/x
  3. Step 3: Cross multiply
    8,567.20x = 12,778.52 × 7,812.64
  4. Step 4: Simplify right side
    8,567.20x = 99,833,976.49
  5. Step 5: Solve for x
    x = 99,833,976.49/8,567.20
  6. Step 6: Final answer
    x = 11,653.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.