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Finding the Fourth Proportional to 11,548.56, 15,939.60 and 7,356

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Solution

The fourth proportional to 11,548.56, 15,939.60 and 7,356 is: 10,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.56 : 15,939.60 = 7,356 : x
  2. Step 2: Convert to fraction form
    11,548.56/15,939.60 = 7,356/x
  3. Step 3: Cross multiply
    11,548.56x = 15,939.60 × 7,356
  4. Step 4: Simplify right side
    11,548.56x = 117,251,697.60
  5. Step 5: Solve for x
    x = 117,251,697.60/11,548.56
  6. Step 6: Final answer
    x = 10,152.93

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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.