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Finding the Fourth Proportional to 8,429.78, 12,646.14 and 2,883.68

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Solution

The fourth proportional to 8,429.78, 12,646.14 and 2,883.68 is: 4,326.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.78 : 12,646.14 = 2,883.68 : x
  2. Step 2: Convert to fraction form
    8,429.78/12,646.14 = 2,883.68/x
  3. Step 3: Cross multiply
    8,429.78x = 12,646.14 × 2,883.68
  4. Step 4: Simplify right side
    8,429.78x = 36,467,421.00
  5. Step 5: Solve for x
    x = 36,467,421.00/8,429.78
  6. Step 6: Final answer
    x = 4,326.02

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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.