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Finding the Fourth Proportional to 10,967.93, 16,454.12 and 3,570.40

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Solution

The fourth proportional to 10,967.93, 16,454.12 and 3,570.40 is: 5,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.93 : 16,454.12 = 3,570.40 : x
  2. Step 2: Convert to fraction form
    10,967.93/16,454.12 = 3,570.40/x
  3. Step 3: Cross multiply
    10,967.93x = 16,454.12 × 3,570.40
  4. Step 4: Simplify right side
    10,967.93x = 58,747,813.33
  5. Step 5: Solve for x
    x = 58,747,813.33/10,967.93
  6. Step 6: Final answer
    x = 5,356.33

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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.