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Finding the Fourth Proportional to 10,729.72, 16,094.59 and 6,103

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Solution

The fourth proportional to 10,729.72, 16,094.59 and 6,103 is: 9,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.72 : 16,094.59 = 6,103 : x
  2. Step 2: Convert to fraction form
    10,729.72/16,094.59 = 6,103/x
  3. Step 3: Cross multiply
    10,729.72x = 16,094.59 × 6,103
  4. Step 4: Simplify right side
    10,729.72x = 98,225,282.77
  5. Step 5: Solve for x
    x = 98,225,282.77/10,729.72
  6. Step 6: Final answer
    x = 9,154.51

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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.