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Finding the Fourth Proportional to 10,108.94, 13,950.18 and 5,632.67

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Solution

The fourth proportional to 10,108.94, 13,950.18 and 5,632.67 is: 7,773.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.94 : 13,950.18 = 5,632.67 : x
  2. Step 2: Convert to fraction form
    10,108.94/13,950.18 = 5,632.67/x
  3. Step 3: Cross multiply
    10,108.94x = 13,950.18 × 5,632.67
  4. Step 4: Simplify right side
    10,108.94x = 78,576,760.38
  5. Step 5: Solve for x
    x = 78,576,760.38/10,108.94
  6. Step 6: Final answer
    x = 7,773.00

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Why These Related Problems?

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