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Finding the Fourth Proportional to 10,465.48, 15,699.74 and 3,537.64

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Solution

The fourth proportional to 10,465.48, 15,699.74 and 3,537.64 is: 5,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.48 : 15,699.74 = 3,537.64 : x
  2. Step 2: Convert to fraction form
    10,465.48/15,699.74 = 3,537.64/x
  3. Step 3: Cross multiply
    10,465.48x = 15,699.74 × 3,537.64
  4. Step 4: Simplify right side
    10,465.48x = 55,540,028.21
  5. Step 5: Solve for x
    x = 55,540,028.21/10,465.48
  6. Step 6: Final answer
    x = 5,306.97

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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.