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Finding the Fourth Proportional to 11,329.80, 16,990.66 and 4,307.95

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Solution

The fourth proportional to 11,329.80, 16,990.66 and 4,307.95 is: 6,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.80 : 16,990.66 = 4,307.95 : x
  2. Step 2: Convert to fraction form
    11,329.80/16,990.66 = 4,307.95/x
  3. Step 3: Cross multiply
    11,329.80x = 16,990.66 × 4,307.95
  4. Step 4: Simplify right side
    11,329.80x = 73,194,860.50
  5. Step 5: Solve for x
    x = 73,194,860.50/11,329.80
  6. Step 6: Final answer
    x = 6,460.38

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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.