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Finding the Fourth Proportional to 10,993.46, 16,486.07 and 4,417.40

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Solution

The fourth proportional to 10,993.46, 16,486.07 and 4,417.40 is: 6,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.46 : 16,486.07 = 4,417.40 : x
  2. Step 2: Convert to fraction form
    10,993.46/16,486.07 = 4,417.40/x
  3. Step 3: Cross multiply
    10,993.46x = 16,486.07 × 4,417.40
  4. Step 4: Simplify right side
    10,993.46x = 72,825,584.75
  5. Step 5: Solve for x
    x = 72,825,584.75/10,993.46
  6. Step 6: Final answer
    x = 6,624.45

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