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Finding the Fourth Proportional to 8,497.88, 12,743.58 and 3,303.08

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Solution

The fourth proportional to 8,497.88, 12,743.58 and 3,303.08 is: 4,953.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.88 : 12,743.58 = 3,303.08 : x
  2. Step 2: Convert to fraction form
    8,497.88/12,743.58 = 3,303.08/x
  3. Step 3: Cross multiply
    8,497.88x = 12,743.58 × 3,303.08
  4. Step 4: Simplify right side
    8,497.88x = 42,093,064.23
  5. Step 5: Solve for x
    x = 42,093,064.23/8,497.88
  6. Step 6: Final answer
    x = 4,953.36

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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.