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Finding the Fourth Proportional to 7,711.50, 10,641.87 and 4,399.50

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Solution

The fourth proportional to 7,711.50, 10,641.87 and 4,399.50 is: 6,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.50 : 10,641.87 = 4,399.50 : x
  2. Step 2: Convert to fraction form
    7,711.50/10,641.87 = 4,399.50/x
  3. Step 3: Cross multiply
    7,711.50x = 10,641.87 × 4,399.50
  4. Step 4: Simplify right side
    7,711.50x = 46,818,907.07
  5. Step 5: Solve for x
    x = 46,818,907.07/7,711.50
  6. Step 6: Final answer
    x = 6,071.31

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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.