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Finding the Fourth Proportional to 10,194.58, 14,068.20 and 6,214.24

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Solution

The fourth proportional to 10,194.58, 14,068.20 and 6,214.24 is: 8,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.58 : 14,068.20 = 6,214.24 : x
  2. Step 2: Convert to fraction form
    10,194.58/14,068.20 = 6,214.24/x
  3. Step 3: Cross multiply
    10,194.58x = 14,068.20 × 6,214.24
  4. Step 4: Simplify right side
    10,194.58x = 87,423,171.17
  5. Step 5: Solve for x
    x = 87,423,171.17/10,194.58
  6. Step 6: Final answer
    x = 8,575.46

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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.