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Finding the Fourth Proportional to 10,050.82, 13,870.96 and 5,576

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Solution

The fourth proportional to 10,050.82, 13,870.96 and 5,576 is: 7,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.82 : 13,870.96 = 5,576 : x
  2. Step 2: Convert to fraction form
    10,050.82/13,870.96 = 5,576/x
  3. Step 3: Cross multiply
    10,050.82x = 13,870.96 × 5,576
  4. Step 4: Simplify right side
    10,050.82x = 77,344,472.96
  5. Step 5: Solve for x
    x = 77,344,472.96/10,050.82
  6. Step 6: Final answer
    x = 7,695.34

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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.