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Finding the Fourth Proportional to 10,830.65, 16,247.32 and 3,809.00

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Solution

The fourth proportional to 10,830.65, 16,247.32 and 3,809.00 is: 5,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.65 : 16,247.32 = 3,809.00 : x
  2. Step 2: Convert to fraction form
    10,830.65/16,247.32 = 3,809.00/x
  3. Step 3: Cross multiply
    10,830.65x = 16,247.32 × 3,809.00
  4. Step 4: Simplify right side
    10,830.65x = 61,886,072.98
  5. Step 5: Solve for x
    x = 61,886,072.98/10,830.65
  6. Step 6: Final answer
    x = 5,713.98

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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.