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Finding the Fourth Proportional to 10,174.42, 14,038.95 and 6,399.82

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Solution

The fourth proportional to 10,174.42, 14,038.95 and 6,399.82 is: 8,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.42 : 14,038.95 = 6,399.82 : x
  2. Step 2: Convert to fraction form
    10,174.42/14,038.95 = 6,399.82/x
  3. Step 3: Cross multiply
    10,174.42x = 14,038.95 × 6,399.82
  4. Step 4: Simplify right side
    10,174.42x = 89,846,752.99
  5. Step 5: Solve for x
    x = 89,846,752.99/10,174.42
  6. Step 6: Final answer
    x = 8,830.65

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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.