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Finding the Fourth Proportional to 7,798.23, 10,761.82 and 4,261.67

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Solution

The fourth proportional to 7,798.23, 10,761.82 and 4,261.67 is: 5,881.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.23 : 10,761.82 = 4,261.67 : x
  2. Step 2: Convert to fraction form
    7,798.23/10,761.82 = 4,261.67/x
  3. Step 3: Cross multiply
    7,798.23x = 10,761.82 × 4,261.67
  4. Step 4: Simplify right side
    7,798.23x = 45,863,271.63
  5. Step 5: Solve for x
    x = 45,863,271.63/7,798.23
  6. Step 6: Final answer
    x = 5,881.24

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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.