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Finding the Fourth Proportional to 10,803.67, 14,909.04 and 5,835.67

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Solution

The fourth proportional to 10,803.67, 14,909.04 and 5,835.67 is: 8,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.67 : 14,909.04 = 5,835.67 : x
  2. Step 2: Convert to fraction form
    10,803.67/14,909.04 = 5,835.67/x
  3. Step 3: Cross multiply
    10,803.67x = 14,909.04 × 5,835.67
  4. Step 4: Simplify right side
    10,803.67x = 87,004,200.18
  5. Step 5: Solve for x
    x = 87,004,200.18/10,803.67
  6. Step 6: Final answer
    x = 8,053.21

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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.