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Finding the Fourth Proportional to 11,666.34, 16,099.02 and 6,360.84

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Solution

The fourth proportional to 11,666.34, 16,099.02 and 6,360.84 is: 8,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.34 : 16,099.02 = 6,360.84 : x
  2. Step 2: Convert to fraction form
    11,666.34/16,099.02 = 6,360.84/x
  3. Step 3: Cross multiply
    11,666.34x = 16,099.02 × 6,360.84
  4. Step 4: Simplify right side
    11,666.34x = 102,403,290.38
  5. Step 5: Solve for x
    x = 102,403,290.38/11,666.34
  6. Step 6: Final answer
    x = 8,777.67

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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.