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Finding the Fourth Proportional to 8,634.83, 12,952.25 and 5,712.45

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Solution

The fourth proportional to 8,634.83, 12,952.25 and 5,712.45 is: 8,568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.83 : 12,952.25 = 5,712.45 : x
  2. Step 2: Convert to fraction form
    8,634.83/12,952.25 = 5,712.45/x
  3. Step 3: Cross multiply
    8,634.83x = 12,952.25 × 5,712.45
  4. Step 4: Simplify right side
    8,634.83x = 73,989,080.51
  5. Step 5: Solve for x
    x = 73,989,080.51/8,634.83
  6. Step 6: Final answer
    x = 8,568.68

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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.