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Finding the Fourth Proportional to 10,713.26, 16,063.88 and 7,339.86

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Solution

The fourth proportional to 10,713.26, 16,063.88 and 7,339.86 is: 11,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.26 : 16,063.88 = 7,339.86 : x
  2. Step 2: Convert to fraction form
    10,713.26/16,063.88 = 7,339.86/x
  3. Step 3: Cross multiply
    10,713.26x = 16,063.88 × 7,339.86
  4. Step 4: Simplify right side
    10,713.26x = 117,906,652.07
  5. Step 5: Solve for x
    x = 117,906,652.07/10,713.26
  6. Step 6: Final answer
    x = 11,005.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.