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Finding the Fourth Proportional to 8,397.86, 12,596.32 and 2,554.01

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Solution

The fourth proportional to 8,397.86, 12,596.32 and 2,554.01 is: 3,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,397.86 : 12,596.32 = 2,554.01 : x
  2. Step 2: Convert to fraction form
    8,397.86/12,596.32 = 2,554.01/x
  3. Step 3: Cross multiply
    8,397.86x = 12,596.32 × 2,554.01
  4. Step 4: Simplify right side
    8,397.86x = 32,171,127.24
  5. Step 5: Solve for x
    x = 32,171,127.24/8,397.86
  6. Step 6: Final answer
    x = 3,830.87

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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.