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Finding the Fourth Proportional to 11,358.82, 15,674.74 and 6,323.23

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Solution

The fourth proportional to 11,358.82, 15,674.74 and 6,323.23 is: 8,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.82 : 15,674.74 = 6,323.23 : x
  2. Step 2: Convert to fraction form
    11,358.82/15,674.74 = 6,323.23/x
  3. Step 3: Cross multiply
    11,358.82x = 15,674.74 × 6,323.23
  4. Step 4: Simplify right side
    11,358.82x = 99,114,986.21
  5. Step 5: Solve for x
    x = 99,114,986.21/11,358.82
  6. Step 6: Final answer
    x = 8,725.82

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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.