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Finding the Fourth Proportional to 10,151.98, 14,018.34 and 8,482.30

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Solution

The fourth proportional to 10,151.98, 14,018.34 and 8,482.30 is: 11,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.98 : 14,018.34 = 8,482.30 : x
  2. Step 2: Convert to fraction form
    10,151.98/14,018.34 = 8,482.30/x
  3. Step 3: Cross multiply
    10,151.98x = 14,018.34 × 8,482.30
  4. Step 4: Simplify right side
    10,151.98x = 118,907,765.38
  5. Step 5: Solve for x
    x = 118,907,765.38/10,151.98
  6. Step 6: Final answer
    x = 11,712.77

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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.