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Finding the Fourth Proportional to 8,556.96, 12,838.80 and 2,714.40

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Solution

The fourth proportional to 8,556.96, 12,838.80 and 2,714.40 is: 4,072.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,556.96 : 12,838.80 = 2,714.40 : x
  2. Step 2: Convert to fraction form
    8,556.96/12,838.80 = 2,714.40/x
  3. Step 3: Cross multiply
    8,556.96x = 12,838.80 × 2,714.40
  4. Step 4: Simplify right side
    8,556.96x = 34,849,638.72
  5. Step 5: Solve for x
    x = 34,849,638.72/8,556.96
  6. Step 6: Final answer
    x = 4,072.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.