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Finding the Fourth Proportional to 11,513.54, 15,885.92 and 6,476.76

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Solution

The fourth proportional to 11,513.54, 15,885.92 and 6,476.76 is: 8,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.54 : 15,885.92 = 6,476.76 : x
  2. Step 2: Convert to fraction form
    11,513.54/15,885.92 = 6,476.76/x
  3. Step 3: Cross multiply
    11,513.54x = 15,885.92 × 6,476.76
  4. Step 4: Simplify right side
    11,513.54x = 102,889,307.41
  5. Step 5: Solve for x
    x = 102,889,307.41/11,513.54
  6. Step 6: Final answer
    x = 8,936.37

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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.