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Finding the Fourth Proportional to 7,783.72, 11,677.50 and 2,589.64

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Solution

The fourth proportional to 7,783.72, 11,677.50 and 2,589.64 is: 3,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.72 : 11,677.50 = 2,589.64 : x
  2. Step 2: Convert to fraction form
    7,783.72/11,677.50 = 2,589.64/x
  3. Step 3: Cross multiply
    7,783.72x = 11,677.50 × 2,589.64
  4. Step 4: Simplify right side
    7,783.72x = 30,240,521.10
  5. Step 5: Solve for x
    x = 30,240,521.10/7,783.72
  6. Step 6: Final answer
    x = 3,885.10

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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.