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Finding the Fourth Proportional to 11,496.24, 15,866.08 and 6,461.76

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Solution

The fourth proportional to 11,496.24, 15,866.08 and 6,461.76 is: 8,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.24 : 15,866.08 = 6,461.76 : x
  2. Step 2: Convert to fraction form
    11,496.24/15,866.08 = 6,461.76/x
  3. Step 3: Cross multiply
    11,496.24x = 15,866.08 × 6,461.76
  4. Step 4: Simplify right side
    11,496.24x = 102,522,801.10
  5. Step 5: Solve for x
    x = 102,522,801.10/11,496.24
  6. Step 6: Final answer
    x = 8,917.94

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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.