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Finding the Fourth Proportional to 8,554.72, 12,828.24 and 2,710.24

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Solution

The fourth proportional to 8,554.72, 12,828.24 and 2,710.24 is: 4,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.72 : 12,828.24 = 2,710.24 : x
  2. Step 2: Convert to fraction form
    8,554.72/12,828.24 = 2,710.24/x
  3. Step 3: Cross multiply
    8,554.72x = 12,828.24 × 2,710.24
  4. Step 4: Simplify right side
    8,554.72x = 34,767,609.18
  5. Step 5: Solve for x
    x = 34,767,609.18/8,554.72
  6. Step 6: Final answer
    x = 4,064.14

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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.