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Finding the Fourth Proportional to 10,214.40, 14,095.88 and 5,968.40

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Solution

The fourth proportional to 10,214.40, 14,095.88 and 5,968.40 is: 8,236.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.40 : 14,095.88 = 5,968.40 : x
  2. Step 2: Convert to fraction form
    10,214.40/14,095.88 = 5,968.40/x
  3. Step 3: Cross multiply
    10,214.40x = 14,095.88 × 5,968.40
  4. Step 4: Simplify right side
    10,214.40x = 84,129,850.19
  5. Step 5: Solve for x
    x = 84,129,850.19/10,214.40
  6. Step 6: Final answer
    x = 8,236.40

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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.