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Finding the Fourth Proportional to 11,345.95, 16,993 and 6,719.23

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Solution

The fourth proportional to 11,345.95, 16,993 and 6,719.23 is: 10,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.95 : 16,993 = 6,719.23 : x
  2. Step 2: Convert to fraction form
    11,345.95/16,993 = 6,719.23/x
  3. Step 3: Cross multiply
    11,345.95x = 16,993 × 6,719.23
  4. Step 4: Simplify right side
    11,345.95x = 114,179,875.39
  5. Step 5: Solve for x
    x = 114,179,875.39/11,345.95
  6. Step 6: Final answer
    x = 10,063.49

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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.