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Finding the Fourth Proportional to 11,357.42, 15,673.97 and 6,322.12

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Solution

The fourth proportional to 11,357.42, 15,673.97 and 6,322.12 is: 8,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.42 : 15,673.97 = 6,322.12 : x
  2. Step 2: Convert to fraction form
    11,357.42/15,673.97 = 6,322.12/x
  3. Step 3: Cross multiply
    11,357.42x = 15,673.97 × 6,322.12
  4. Step 4: Simplify right side
    11,357.42x = 99,092,695.84
  5. Step 5: Solve for x
    x = 99,092,695.84/11,357.42
  6. Step 6: Final answer
    x = 8,724.93

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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.