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Finding the Fourth Proportional to 10,309.53, 15,464.30 and 5,924.19

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Solution

The fourth proportional to 10,309.53, 15,464.30 and 5,924.19 is: 8,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.53 : 15,464.30 = 5,924.19 : x
  2. Step 2: Convert to fraction form
    10,309.53/15,464.30 = 5,924.19/x
  3. Step 3: Cross multiply
    10,309.53x = 15,464.30 × 5,924.19
  4. Step 4: Simplify right side
    10,309.53x = 91,613,451.42
  5. Step 5: Solve for x
    x = 91,613,451.42/10,309.53
  6. Step 6: Final answer
    x = 8,886.29

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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.