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Finding the Fourth Proportional to 11,030.93, 16,546.46 and 7,758.66

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Solution

The fourth proportional to 11,030.93, 16,546.46 and 7,758.66 is: 11,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,030.93 : 16,546.46 = 7,758.66 : x
  2. Step 2: Convert to fraction form
    11,030.93/16,546.46 = 7,758.66/x
  3. Step 3: Cross multiply
    11,030.93x = 16,546.46 × 7,758.66
  4. Step 4: Simplify right side
    11,030.93x = 128,378,318.55
  5. Step 5: Solve for x
    x = 128,378,318.55/11,030.93
  6. Step 6: Final answer
    x = 11,638.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.