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Finding the Fourth Proportional to 8,203.68, 12,302.64 and 3,272.40

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Solution

The fourth proportional to 8,203.68, 12,302.64 and 3,272.40 is: 4,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.68 : 12,302.64 = 3,272.40 : x
  2. Step 2: Convert to fraction form
    8,203.68/12,302.64 = 3,272.40/x
  3. Step 3: Cross multiply
    8,203.68x = 12,302.64 × 3,272.40
  4. Step 4: Simplify right side
    8,203.68x = 40,259,159.14
  5. Step 5: Solve for x
    x = 40,259,159.14/8,203.68
  6. Step 6: Final answer
    x = 4,907.45

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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.