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Finding the Fourth Proportional to 8,035.76, 11,089.44 and 4,499

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Solution

The fourth proportional to 8,035.76, 11,089.44 and 4,499 is: 6,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.76 : 11,089.44 = 4,499 : x
  2. Step 2: Convert to fraction form
    8,035.76/11,089.44 = 4,499/x
  3. Step 3: Cross multiply
    8,035.76x = 11,089.44 × 4,499
  4. Step 4: Simplify right side
    8,035.76x = 49,891,390.56
  5. Step 5: Solve for x
    x = 49,891,390.56/8,035.76
  6. Step 6: Final answer
    x = 6,208.67

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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.