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Finding the Fourth Proportional to 11,803, 17,706.84 and 3,483.16

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Solution

The fourth proportional to 11,803, 17,706.84 and 3,483.16 is: 5,225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803 : 17,706.84 = 3,483.16 : x
  2. Step 2: Convert to fraction form
    11,803/17,706.84 = 3,483.16/x
  3. Step 3: Cross multiply
    11,803x = 17,706.84 × 3,483.16
  4. Step 4: Simplify right side
    11,803x = 61,675,756.81
  5. Step 5: Solve for x
    x = 61,675,756.81/11,803
  6. Step 6: Final answer
    x = 5,225.43

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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.