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Finding the Fourth Proportional to 11,329.98, 16,980.63 and 6,402.41

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Solution

The fourth proportional to 11,329.98, 16,980.63 and 6,402.41 is: 9,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.98 : 16,980.63 = 6,402.41 : x
  2. Step 2: Convert to fraction form
    11,329.98/16,980.63 = 6,402.41/x
  3. Step 3: Cross multiply
    11,329.98x = 16,980.63 × 6,402.41
  4. Step 4: Simplify right side
    11,329.98x = 108,716,870.42
  5. Step 5: Solve for x
    x = 108,716,870.42/11,329.98
  6. Step 6: Final answer
    x = 9,595.50

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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.