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Finding the Fourth Proportional to 10,993.16, 16,490.50 and 4,419.35

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Solution

The fourth proportional to 10,993.16, 16,490.50 and 4,419.35 is: 6,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.16 : 16,490.50 = 4,419.35 : x
  2. Step 2: Convert to fraction form
    10,993.16/16,490.50 = 4,419.35/x
  3. Step 3: Cross multiply
    10,993.16x = 16,490.50 × 4,419.35
  4. Step 4: Simplify right side
    10,993.16x = 72,877,291.18
  5. Step 5: Solve for x
    x = 72,877,291.18/10,993.16
  6. Step 6: Final answer
    x = 6,629.33

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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.