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Finding the Fourth Proportional to 8,543.07, 12,814.52 and 2,699.67

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Solution

The fourth proportional to 8,543.07, 12,814.52 and 2,699.67 is: 4,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.07 : 12,814.52 = 2,699.67 : x
  2. Step 2: Convert to fraction form
    8,543.07/12,814.52 = 2,699.67/x
  3. Step 3: Cross multiply
    8,543.07x = 12,814.52 × 2,699.67
  4. Step 4: Simplify right side
    8,543.07x = 34,595,030.01
  5. Step 5: Solve for x
    x = 34,595,030.01/8,543.07
  6. Step 6: Final answer
    x = 4,049.49

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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.