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Finding the Fourth Proportional to 8,594.80, 12,913.80 and 7,644.40

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Solution

The fourth proportional to 8,594.80, 12,913.80 and 7,644.40 is: 11,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.80 : 12,913.80 = 7,644.40 : x
  2. Step 2: Convert to fraction form
    8,594.80/12,913.80 = 7,644.40/x
  3. Step 3: Cross multiply
    8,594.80x = 12,913.80 × 7,644.40
  4. Step 4: Simplify right side
    8,594.80x = 98,718,252.72
  5. Step 5: Solve for x
    x = 98,718,252.72/8,594.80
  6. Step 6: Final answer
    x = 11,485.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.