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Finding the Fourth Proportional to 10,784.89, 14,883.15 and 6,069.28

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Solution

The fourth proportional to 10,784.89, 14,883.15 and 6,069.28 is: 8,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.89 : 14,883.15 = 6,069.28 : x
  2. Step 2: Convert to fraction form
    10,784.89/14,883.15 = 6,069.28/x
  3. Step 3: Cross multiply
    10,784.89x = 14,883.15 × 6,069.28
  4. Step 4: Simplify right side
    10,784.89x = 90,329,930.22
  5. Step 5: Solve for x
    x = 90,329,930.22/10,784.89
  6. Step 6: Final answer
    x = 8,375.60

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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.