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Finding the Fourth Proportional to 10,703.72, 16,015.26 and 7,423.16

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Solution

The fourth proportional to 10,703.72, 16,015.26 and 7,423.16 is: 11,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.72 : 16,015.26 = 7,423.16 : x
  2. Step 2: Convert to fraction form
    10,703.72/16,015.26 = 7,423.16/x
  3. Step 3: Cross multiply
    10,703.72x = 16,015.26 × 7,423.16
  4. Step 4: Simplify right side
    10,703.72x = 118,883,837.42
  5. Step 5: Solve for x
    x = 118,883,837.42/10,703.72
  6. Step 6: Final answer
    x = 11,106.78

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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.