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Finding the Fourth Proportional to 10,859.88, 16,292.47 and 3,464.34

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Solution

The fourth proportional to 10,859.88, 16,292.47 and 3,464.34 is: 5,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.88 : 16,292.47 = 3,464.34 : x
  2. Step 2: Convert to fraction form
    10,859.88/16,292.47 = 3,464.34/x
  3. Step 3: Cross multiply
    10,859.88x = 16,292.47 × 3,464.34
  4. Step 4: Simplify right side
    10,859.88x = 56,442,655.52
  5. Step 5: Solve for x
    x = 56,442,655.52/10,859.88
  6. Step 6: Final answer
    x = 5,197.36

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