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Finding the Fourth Proportional to 10,419.76, 14,369.90 and 6,886.54

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Solution

The fourth proportional to 10,419.76, 14,369.90 and 6,886.54 is: 9,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.76 : 14,369.90 = 6,886.54 : x
  2. Step 2: Convert to fraction form
    10,419.76/14,369.90 = 6,886.54/x
  3. Step 3: Cross multiply
    10,419.76x = 14,369.90 × 6,886.54
  4. Step 4: Simplify right side
    10,419.76x = 98,958,891.15
  5. Step 5: Solve for x
    x = 98,958,891.15/10,419.76
  6. Step 6: Final answer
    x = 9,497.23

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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.