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Finding the Fourth Proportional to 11,931.84, 16,465.92 and 7,216.11

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Solution

The fourth proportional to 11,931.84, 16,465.92 and 7,216.11 is: 9,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.84 : 16,465.92 = 7,216.11 : x
  2. Step 2: Convert to fraction form
    11,931.84/16,465.92 = 7,216.11/x
  3. Step 3: Cross multiply
    11,931.84x = 16,465.92 × 7,216.11
  4. Step 4: Simplify right side
    11,931.84x = 118,819,889.97
  5. Step 5: Solve for x
    x = 118,819,889.97/11,931.84
  6. Step 6: Final answer
    x = 9,958.22

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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.