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Finding the Fourth Proportional to 8,000.19, 11,042.57 and 4,643.75

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Solution

The fourth proportional to 8,000.19, 11,042.57 and 4,643.75 is: 6,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.19 : 11,042.57 = 4,643.75 : x
  2. Step 2: Convert to fraction form
    8,000.19/11,042.57 = 4,643.75/x
  3. Step 3: Cross multiply
    8,000.19x = 11,042.57 × 4,643.75
  4. Step 4: Simplify right side
    8,000.19x = 51,278,973.65
  5. Step 5: Solve for x
    x = 51,278,973.65/8,000.19
  6. Step 6: Final answer
    x = 6,409.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.