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Finding the Fourth Proportional to 10,909.83, 16,362.44 and 4,985.04

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Solution

The fourth proportional to 10,909.83, 16,362.44 and 4,985.04 is: 7,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.83 : 16,362.44 = 4,985.04 : x
  2. Step 2: Convert to fraction form
    10,909.83/16,362.44 = 4,985.04/x
  3. Step 3: Cross multiply
    10,909.83x = 16,362.44 × 4,985.04
  4. Step 4: Simplify right side
    10,909.83x = 81,567,430.36
  5. Step 5: Solve for x
    x = 81,567,430.36/10,909.83
  6. Step 6: Final answer
    x = 7,476.51

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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.