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Finding the Fourth Proportional to 10,505.39, 15,719.15 and 8,419.07

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Solution

The fourth proportional to 10,505.39, 15,719.15 and 8,419.07 is: 12,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.39 : 15,719.15 = 8,419.07 : x
  2. Step 2: Convert to fraction form
    10,505.39/15,719.15 = 8,419.07/x
  3. Step 3: Cross multiply
    10,505.39x = 15,719.15 × 8,419.07
  4. Step 4: Simplify right side
    10,505.39x = 132,340,684.54
  5. Step 5: Solve for x
    x = 132,340,684.54/10,505.39
  6. Step 6: Final answer
    x = 12,597.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.