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Finding the Fourth Proportional to 11,357.72, 15,673.76 and 6,322.04

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Solution

The fourth proportional to 11,357.72, 15,673.76 and 6,322.04 is: 8,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.72 : 15,673.76 = 6,322.04 : x
  2. Step 2: Convert to fraction form
    11,357.72/15,673.76 = 6,322.04/x
  3. Step 3: Cross multiply
    11,357.72x = 15,673.76 × 6,322.04
  4. Step 4: Simplify right side
    11,357.72x = 99,090,137.67
  5. Step 5: Solve for x
    x = 99,090,137.67/11,357.72
  6. Step 6: Final answer
    x = 8,724.47

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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.