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Finding the Fourth Proportional to 10,784.44, 14,882.43 and 6,068.72

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Solution

The fourth proportional to 10,784.44, 14,882.43 and 6,068.72 is: 8,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.44 : 14,882.43 = 6,068.72 : x
  2. Step 2: Convert to fraction form
    10,784.44/14,882.43 = 6,068.72/x
  3. Step 3: Cross multiply
    10,784.44x = 14,882.43 × 6,068.72
  4. Step 4: Simplify right side
    10,784.44x = 90,317,360.55
  5. Step 5: Solve for x
    x = 90,317,360.55/10,784.44
  6. Step 6: Final answer
    x = 8,374.78

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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.