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Finding the Fourth Proportional to 10,784.63, 14,883.39 and 6,069.21

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Solution

The fourth proportional to 10,784.63, 14,883.39 and 6,069.21 is: 8,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.63 : 14,883.39 = 6,069.21 : x
  2. Step 2: Convert to fraction form
    10,784.63/14,883.39 = 6,069.21/x
  3. Step 3: Cross multiply
    10,784.63x = 14,883.39 × 6,069.21
  4. Step 4: Simplify right side
    10,784.63x = 90,330,419.42
  5. Step 5: Solve for x
    x = 90,330,419.42/10,784.63
  6. Step 6: Final answer
    x = 8,375.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.