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Finding the Fourth Proportional to 11,931.46, 16,462.72 and 7,453.58

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Solution

The fourth proportional to 11,931.46, 16,462.72 and 7,453.58 is: 10,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931.46 : 16,462.72 = 7,453.58 : x
  2. Step 2: Convert to fraction form
    11,931.46/16,462.72 = 7,453.58/x
  3. Step 3: Cross multiply
    11,931.46x = 16,462.72 × 7,453.58
  4. Step 4: Simplify right side
    11,931.46x = 122,706,140.75
  5. Step 5: Solve for x
    x = 122,706,140.75/11,931.46
  6. Step 6: Final answer
    x = 10,284.25

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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.