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Finding the Fourth Proportional to 8,236.40, 11,353.02 and 6,465.02

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Solution

The fourth proportional to 8,236.40, 11,353.02 and 6,465.02 is: 8,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.40 : 11,353.02 = 6,465.02 : x
  2. Step 2: Convert to fraction form
    8,236.40/11,353.02 = 6,465.02/x
  3. Step 3: Cross multiply
    8,236.40x = 11,353.02 × 6,465.02
  4. Step 4: Simplify right side
    8,236.40x = 73,397,501.36
  5. Step 5: Solve for x
    x = 73,397,501.36/8,236.40
  6. Step 6: Final answer
    x = 8,911.36

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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.