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Finding the Fourth Proportional to 10,319.76, 14,241.36 and 6,069.68

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Solution

The fourth proportional to 10,319.76, 14,241.36 and 6,069.68 is: 8,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.76 : 14,241.36 = 6,069.68 : x
  2. Step 2: Convert to fraction form
    10,319.76/14,241.36 = 6,069.68/x
  3. Step 3: Cross multiply
    10,319.76x = 14,241.36 × 6,069.68
  4. Step 4: Simplify right side
    10,319.76x = 86,440,497.96
  5. Step 5: Solve for x
    x = 86,440,497.96/10,319.76
  6. Step 6: Final answer
    x = 8,376.21

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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.