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Finding the Fourth Proportional to 11,431.36, 15,774.24 and 7,239.52

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Solution

The fourth proportional to 11,431.36, 15,774.24 and 7,239.52 is: 9,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.36 : 15,774.24 = 7,239.52 : x
  2. Step 2: Convert to fraction form
    11,431.36/15,774.24 = 7,239.52/x
  3. Step 3: Cross multiply
    11,431.36x = 15,774.24 × 7,239.52
  4. Step 4: Simplify right side
    11,431.36x = 114,197,925.96
  5. Step 5: Solve for x
    x = 114,197,925.96/11,431.36
  6. Step 6: Final answer
    x = 9,989.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.