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Finding the Fourth Proportional to 11,496.40, 15,864.06 and 6,460.23

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Solution

The fourth proportional to 11,496.40, 15,864.06 and 6,460.23 is: 8,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.40 : 15,864.06 = 6,460.23 : x
  2. Step 2: Convert to fraction form
    11,496.40/15,864.06 = 6,460.23/x
  3. Step 3: Cross multiply
    11,496.40x = 15,864.06 × 6,460.23
  4. Step 4: Simplify right side
    11,496.40x = 102,485,476.33
  5. Step 5: Solve for x
    x = 102,485,476.33/11,496.40
  6. Step 6: Final answer
    x = 8,914.57

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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.