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Finding the Fourth Proportional to 10,318, 14,232.76 and 6,126

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Solution

The fourth proportional to 10,318, 14,232.76 and 6,126 is: 8,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318 : 14,232.76 = 6,126 : x
  2. Step 2: Convert to fraction form
    10,318/14,232.76 = 6,126/x
  3. Step 3: Cross multiply
    10,318x = 14,232.76 × 6,126
  4. Step 4: Simplify right side
    10,318x = 87,189,887.76
  5. Step 5: Solve for x
    x = 87,189,887.76/10,318
  6. Step 6: Final answer
    x = 8,450.27

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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.