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Finding the Fourth Proportional to 11,496.36, 15,866.16 and 6,461.04

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Solution

The fourth proportional to 11,496.36, 15,866.16 and 6,461.04 is: 8,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.36 : 15,866.16 = 6,461.04 : x
  2. Step 2: Convert to fraction form
    11,496.36/15,866.16 = 6,461.04/x
  3. Step 3: Cross multiply
    11,496.36x = 15,866.16 × 6,461.04
  4. Step 4: Simplify right side
    11,496.36x = 102,511,894.41
  5. Step 5: Solve for x
    x = 102,511,894.41/11,496.36
  6. Step 6: Final answer
    x = 8,916.90

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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.