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Finding the Fourth Proportional to 7,405.76, 11,103.14 and 4,483.42

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Solution

The fourth proportional to 7,405.76, 11,103.14 and 4,483.42 is: 6,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.76 : 11,103.14 = 4,483.42 : x
  2. Step 2: Convert to fraction form
    7,405.76/11,103.14 = 4,483.42/x
  3. Step 3: Cross multiply
    7,405.76x = 11,103.14 × 4,483.42
  4. Step 4: Simplify right side
    7,405.76x = 49,780,039.94
  5. Step 5: Solve for x
    x = 49,780,039.94/7,405.76
  6. Step 6: Final answer
    x = 6,721.80

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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.