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Finding the Fourth Proportional to 8,261.42, 11,400.32 and 4,904.36

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Solution

The fourth proportional to 8,261.42, 11,400.32 and 4,904.36 is: 6,767.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.42 : 11,400.32 = 4,904.36 : x
  2. Step 2: Convert to fraction form
    8,261.42/11,400.32 = 4,904.36/x
  3. Step 3: Cross multiply
    8,261.42x = 11,400.32 × 4,904.36
  4. Step 4: Simplify right side
    8,261.42x = 55,911,273.40
  5. Step 5: Solve for x
    x = 55,911,273.40/8,261.42
  6. Step 6: Final answer
    x = 6,767.76

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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.