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Finding the Fourth Proportional to 10,689.38, 14,751.66 and 5,973.67

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Solution

The fourth proportional to 10,689.38, 14,751.66 and 5,973.67 is: 8,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.38 : 14,751.66 = 5,973.67 : x
  2. Step 2: Convert to fraction form
    10,689.38/14,751.66 = 5,973.67/x
  3. Step 3: Cross multiply
    10,689.38x = 14,751.66 × 5,973.67
  4. Step 4: Simplify right side
    10,689.38x = 88,121,518.92
  5. Step 5: Solve for x
    x = 88,121,518.92/10,689.38
  6. Step 6: Final answer
    x = 8,243.84

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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.