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Finding the Fourth Proportional to 10,465.89, 15,698.43 and 3,540.39

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Solution

The fourth proportional to 10,465.89, 15,698.43 and 3,540.39 is: 5,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.89 : 15,698.43 = 3,540.39 : x
  2. Step 2: Convert to fraction form
    10,465.89/15,698.43 = 3,540.39/x
  3. Step 3: Cross multiply
    10,465.89x = 15,698.43 × 3,540.39
  4. Step 4: Simplify right side
    10,465.89x = 55,578,564.59
  5. Step 5: Solve for x
    x = 55,578,564.59/10,465.89
  6. Step 6: Final answer
    x = 5,310.45

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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.