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Finding the Fourth Proportional to 10,669.68, 14,722.92 and 5,953.80

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Solution

The fourth proportional to 10,669.68, 14,722.92 and 5,953.80 is: 8,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.68 : 14,722.92 = 5,953.80 : x
  2. Step 2: Convert to fraction form
    10,669.68/14,722.92 = 5,953.80/x
  3. Step 3: Cross multiply
    10,669.68x = 14,722.92 × 5,953.80
  4. Step 4: Simplify right side
    10,669.68x = 87,657,321.10
  5. Step 5: Solve for x
    x = 87,657,321.10/10,669.68
  6. Step 6: Final answer
    x = 8,215.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.