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Finding the Fourth Proportional to 8,522.01, 12,782.56 and 2,975.23

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Solution

The fourth proportional to 8,522.01, 12,782.56 and 2,975.23 is: 4,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.01 : 12,782.56 = 2,975.23 : x
  2. Step 2: Convert to fraction form
    8,522.01/12,782.56 = 2,975.23/x
  3. Step 3: Cross multiply
    8,522.01x = 12,782.56 × 2,975.23
  4. Step 4: Simplify right side
    8,522.01x = 38,031,070.11
  5. Step 5: Solve for x
    x = 38,031,070.11/8,522.01
  6. Step 6: Final answer
    x = 4,462.69

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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.