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Finding the Fourth Proportional to 10,419.76, 14,376.32 and 6,168.96

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Solution

The fourth proportional to 10,419.76, 14,376.32 and 6,168.96 is: 8,511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.76 : 14,376.32 = 6,168.96 : x
  2. Step 2: Convert to fraction form
    10,419.76/14,376.32 = 6,168.96/x
  3. Step 3: Cross multiply
    10,419.76x = 14,376.32 × 6,168.96
  4. Step 4: Simplify right side
    10,419.76x = 88,686,943.03
  5. Step 5: Solve for x
    x = 88,686,943.03/10,419.76
  6. Step 6: Final answer
    x = 8,511.42

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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.