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Finding the Fourth Proportional to 11,496.62, 15,866.16 and 6,460.76

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Solution

The fourth proportional to 11,496.62, 15,866.16 and 6,460.76 is: 8,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.62 : 15,866.16 = 6,460.76 : x
  2. Step 2: Convert to fraction form
    11,496.62/15,866.16 = 6,460.76/x
  3. Step 3: Cross multiply
    11,496.62x = 15,866.16 × 6,460.76
  4. Step 4: Simplify right side
    11,496.62x = 102,507,451.88
  5. Step 5: Solve for x
    x = 102,507,451.88/11,496.62
  6. Step 6: Final answer
    x = 8,916.31

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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.