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Finding the Fourth Proportional to 10,308.12, 14,224.86 and 6,329.40

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Solution

The fourth proportional to 10,308.12, 14,224.86 and 6,329.40 is: 8,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.12 : 14,224.86 = 6,329.40 : x
  2. Step 2: Convert to fraction form
    10,308.12/14,224.86 = 6,329.40/x
  3. Step 3: Cross multiply
    10,308.12x = 14,224.86 × 6,329.40
  4. Step 4: Simplify right side
    10,308.12x = 90,034,828.88
  5. Step 5: Solve for x
    x = 90,034,828.88/10,308.12
  6. Step 6: Final answer
    x = 8,734.36

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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.