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Finding the Fourth Proportional to 11,504.70, 15,885.45 and 9,277.20

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Solution

The fourth proportional to 11,504.70, 15,885.45 and 9,277.20 is: 12,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.70 : 15,885.45 = 9,277.20 : x
  2. Step 2: Convert to fraction form
    11,504.70/15,885.45 = 9,277.20/x
  3. Step 3: Cross multiply
    11,504.70x = 15,885.45 × 9,277.20
  4. Step 4: Simplify right side
    11,504.70x = 147,372,496.74
  5. Step 5: Solve for x
    x = 147,372,496.74/11,504.70
  6. Step 6: Final answer
    x = 12,809.76

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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.