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Finding the Fourth Proportional to 8,141.40, 11,230.65 and 4,782.60

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Solution

The fourth proportional to 8,141.40, 11,230.65 and 4,782.60 is: 6,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.40 : 11,230.65 = 4,782.60 : x
  2. Step 2: Convert to fraction form
    8,141.40/11,230.65 = 4,782.60/x
  3. Step 3: Cross multiply
    8,141.40x = 11,230.65 × 4,782.60
  4. Step 4: Simplify right side
    8,141.40x = 53,711,706.69
  5. Step 5: Solve for x
    x = 53,711,706.69/8,141.40
  6. Step 6: Final answer
    x = 6,597.36

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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.