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Finding the Fourth Proportional to 10,854.46, 16,280.01 and 4,190.00

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Solution

The fourth proportional to 10,854.46, 16,280.01 and 4,190.00 is: 6,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.46 : 16,280.01 = 4,190.00 : x
  2. Step 2: Convert to fraction form
    10,854.46/16,280.01 = 4,190.00/x
  3. Step 3: Cross multiply
    10,854.46x = 16,280.01 × 4,190.00
  4. Step 4: Simplify right side
    10,854.46x = 68,213,309.65
  5. Step 5: Solve for x
    x = 68,213,309.65/10,854.46
  6. Step 6: Final answer
    x = 6,284.36

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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.