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Finding the Fourth Proportional to 10,762.77, 16,145.09 and 2,971.59

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Solution

The fourth proportional to 10,762.77, 16,145.09 and 2,971.59 is: 4,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.77 : 16,145.09 = 2,971.59 : x
  2. Step 2: Convert to fraction form
    10,762.77/16,145.09 = 2,971.59/x
  3. Step 3: Cross multiply
    10,762.77x = 16,145.09 × 2,971.59
  4. Step 4: Simplify right side
    10,762.77x = 47,976,523.73
  5. Step 5: Solve for x
    x = 47,976,523.73/10,762.77
  6. Step 6: Final answer
    x = 4,457.64

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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.