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Finding the Fourth Proportional to 8,554.56, 12,829.32 and 3,006.87

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Solution

The fourth proportional to 8,554.56, 12,829.32 and 3,006.87 is: 4,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.56 : 12,829.32 = 3,006.87 : x
  2. Step 2: Convert to fraction form
    8,554.56/12,829.32 = 3,006.87/x
  3. Step 3: Cross multiply
    8,554.56x = 12,829.32 × 3,006.87
  4. Step 4: Simplify right side
    8,554.56x = 38,576,097.43
  5. Step 5: Solve for x
    x = 38,576,097.43/8,554.56
  6. Step 6: Final answer
    x = 4,509.42

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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.