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Finding the Fourth Proportional to 10,194.45, 14,068.35 and 5,948.43

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Solution

The fourth proportional to 10,194.45, 14,068.35 and 5,948.43 is: 8,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.45 : 14,068.35 = 5,948.43 : x
  2. Step 2: Convert to fraction form
    10,194.45/14,068.35 = 5,948.43/x
  3. Step 3: Cross multiply
    10,194.45x = 14,068.35 × 5,948.43
  4. Step 4: Simplify right side
    10,194.45x = 83,684,595.19
  5. Step 5: Solve for x
    x = 83,684,595.19/10,194.45
  6. Step 6: Final answer
    x = 8,208.84

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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.