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Finding the Fourth Proportional to 7,711.86, 11,574.37 and 3,035.15

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Solution

The fourth proportional to 7,711.86, 11,574.37 and 3,035.15 is: 4,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.86 : 11,574.37 = 3,035.15 : x
  2. Step 2: Convert to fraction form
    7,711.86/11,574.37 = 3,035.15/x
  3. Step 3: Cross multiply
    7,711.86x = 11,574.37 × 3,035.15
  4. Step 4: Simplify right side
    7,711.86x = 35,129,897.34
  5. Step 5: Solve for x
    x = 35,129,897.34/7,711.86
  6. Step 6: Final answer
    x = 4,555.31

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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.