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Finding the Fourth Proportional to 8,597.53, 12,896.81 and 2,357.29

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Solution

The fourth proportional to 8,597.53, 12,896.81 and 2,357.29 is: 3,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.53 : 12,896.81 = 2,357.29 : x
  2. Step 2: Convert to fraction form
    8,597.53/12,896.81 = 2,357.29/x
  3. Step 3: Cross multiply
    8,597.53x = 12,896.81 × 2,357.29
  4. Step 4: Simplify right side
    8,597.53x = 30,401,521.24
  5. Step 5: Solve for x
    x = 30,401,521.24/8,597.53
  6. Step 6: Final answer
    x = 3,536.08

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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.