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Finding the Fourth Proportional to 10,464.48, 15,698.24 and 3,536.64

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Solution

The fourth proportional to 10,464.48, 15,698.24 and 3,536.64 is: 5,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.48 : 15,698.24 = 3,536.64 : x
  2. Step 2: Convert to fraction form
    10,464.48/15,698.24 = 3,536.64/x
  3. Step 3: Cross multiply
    10,464.48x = 15,698.24 × 3,536.64
  4. Step 4: Simplify right side
    10,464.48x = 55,519,023.51
  5. Step 5: Solve for x
    x = 55,519,023.51/10,464.48
  6. Step 6: Final answer
    x = 5,305.47

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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.