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Finding the Fourth Proportional to 11,003.50, 16,505.39 and 4,078

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Solution

The fourth proportional to 11,003.50, 16,505.39 and 4,078 is: 6,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.50 : 16,505.39 = 4,078 : x
  2. Step 2: Convert to fraction form
    11,003.50/16,505.39 = 4,078/x
  3. Step 3: Cross multiply
    11,003.50x = 16,505.39 × 4,078
  4. Step 4: Simplify right side
    11,003.50x = 67,308,980.42
  5. Step 5: Solve for x
    x = 67,308,980.42/11,003.50
  6. Step 6: Final answer
    x = 6,117.05

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Why These Related Problems?

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