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Finding the Fourth Proportional to 8,235.68, 11,365.28 and 4,509.60

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Solution

The fourth proportional to 8,235.68, 11,365.28 and 4,509.60 is: 6,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.68 : 11,365.28 = 4,509.60 : x
  2. Step 2: Convert to fraction form
    8,235.68/11,365.28 = 4,509.60/x
  3. Step 3: Cross multiply
    8,235.68x = 11,365.28 × 4,509.60
  4. Step 4: Simplify right side
    8,235.68x = 51,252,866.69
  5. Step 5: Solve for x
    x = 51,252,866.69/8,235.68
  6. Step 6: Final answer
    x = 6,223.27

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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.