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Finding the Fourth Proportional to 10,362.64, 15,548.55 and 5,431.11

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Solution

The fourth proportional to 10,362.64, 15,548.55 and 5,431.11 is: 8,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.64 : 15,548.55 = 5,431.11 : x
  2. Step 2: Convert to fraction form
    10,362.64/15,548.55 = 5,431.11/x
  3. Step 3: Cross multiply
    10,362.64x = 15,548.55 × 5,431.11
  4. Step 4: Simplify right side
    10,362.64x = 84,445,885.39
  5. Step 5: Solve for x
    x = 84,445,885.39/10,362.64
  6. Step 6: Final answer
    x = 8,149.07

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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.