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Finding the Fourth Proportional to 10,859.40, 16,290 and 3,464.91

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Solution

The fourth proportional to 10,859.40, 16,290 and 3,464.91 is: 5,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.40 : 16,290 = 3,464.91 : x
  2. Step 2: Convert to fraction form
    10,859.40/16,290 = 3,464.91/x
  3. Step 3: Cross multiply
    10,859.40x = 16,290 × 3,464.91
  4. Step 4: Simplify right side
    10,859.40x = 56,443,383.90
  5. Step 5: Solve for x
    x = 56,443,383.90/10,859.40
  6. Step 6: Final answer
    x = 5,197.65

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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.