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Finding the Fourth Proportional to 10,259.36, 14,163.36 and 7,896.32

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Solution

The fourth proportional to 10,259.36, 14,163.36 and 7,896.32 is: 10,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.36 : 14,163.36 = 7,896.32 : x
  2. Step 2: Convert to fraction form
    10,259.36/14,163.36 = 7,896.32/x
  3. Step 3: Cross multiply
    10,259.36x = 14,163.36 × 7,896.32
  4. Step 4: Simplify right side
    10,259.36x = 111,838,422.84
  5. Step 5: Solve for x
    x = 111,838,422.84/10,259.36
  6. Step 6: Final answer
    x = 10,901.11

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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.