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Finding the Fourth Proportional to 8,554.42, 12,829.08 and 3,623.98

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Solution

The fourth proportional to 8,554.42, 12,829.08 and 3,623.98 is: 5,434.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.42 : 12,829.08 = 3,623.98 : x
  2. Step 2: Convert to fraction form
    8,554.42/12,829.08 = 3,623.98/x
  3. Step 3: Cross multiply
    8,554.42x = 12,829.08 × 3,623.98
  4. Step 4: Simplify right side
    8,554.42x = 46,492,329.34
  5. Step 5: Solve for x
    x = 46,492,329.34/8,554.42
  6. Step 6: Final answer
    x = 5,434.89

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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.