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Finding the Fourth Proportional to 11,970.84, 17,956.50 and 3,205.74

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Solution

The fourth proportional to 11,970.84, 17,956.50 and 3,205.74 is: 4,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.84 : 17,956.50 = 3,205.74 : x
  2. Step 2: Convert to fraction form
    11,970.84/17,956.50 = 3,205.74/x
  3. Step 3: Cross multiply
    11,970.84x = 17,956.50 × 3,205.74
  4. Step 4: Simplify right side
    11,970.84x = 57,563,870.31
  5. Step 5: Solve for x
    x = 57,563,870.31/11,970.84
  6. Step 6: Final answer
    x = 4,808.67

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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.