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Finding the Fourth Proportional to 8,477.49, 12,709.35 and 7,321.23

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Solution

The fourth proportional to 8,477.49, 12,709.35 and 7,321.23 is: 10,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.49 : 12,709.35 = 7,321.23 : x
  2. Step 2: Convert to fraction form
    8,477.49/12,709.35 = 7,321.23/x
  3. Step 3: Cross multiply
    8,477.49x = 12,709.35 × 7,321.23
  4. Step 4: Simplify right side
    8,477.49x = 93,048,074.50
  5. Step 5: Solve for x
    x = 93,048,074.50/8,477.49
  6. Step 6: Final answer
    x = 10,975.90

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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.