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Finding the Fourth Proportional to 10,194.84, 14,068.82 and 6,215.72

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Solution

The fourth proportional to 10,194.84, 14,068.82 and 6,215.72 is: 8,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.84 : 14,068.82 = 6,215.72 : x
  2. Step 2: Convert to fraction form
    10,194.84/14,068.82 = 6,215.72/x
  3. Step 3: Cross multiply
    10,194.84x = 14,068.82 × 6,215.72
  4. Step 4: Simplify right side
    10,194.84x = 87,447,845.85
  5. Step 5: Solve for x
    x = 87,447,845.85/10,194.84
  6. Step 6: Final answer
    x = 8,577.66

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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.