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Finding the Fourth Proportional to 11,523.58, 15,897 and 11,076.46

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Solution

The fourth proportional to 11,523.58, 15,897 and 11,076.46 is: 15,280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.58 : 15,897 = 11,076.46 : x
  2. Step 2: Convert to fraction form
    11,523.58/15,897 = 11,076.46/x
  3. Step 3: Cross multiply
    11,523.58x = 15,897 × 11,076.46
  4. Step 4: Simplify right side
    11,523.58x = 176,082,484.62
  5. Step 5: Solve for x
    x = 176,082,484.62/11,523.58
  6. Step 6: Final answer
    x = 15,280.19

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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.