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Finding the Fourth Proportional to 8,235.42, 11,365.38 and 4,699.32

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Solution

The fourth proportional to 8,235.42, 11,365.38 and 4,699.32 is: 6,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.42 : 11,365.38 = 4,699.32 : x
  2. Step 2: Convert to fraction form
    8,235.42/11,365.38 = 4,699.32/x
  3. Step 3: Cross multiply
    8,235.42x = 11,365.38 × 4,699.32
  4. Step 4: Simplify right side
    8,235.42x = 53,409,557.54
  5. Step 5: Solve for x
    x = 53,409,557.54/8,235.42
  6. Step 6: Final answer
    x = 6,485.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.