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Finding the Fourth Proportional to 8,141.46, 11,237.18 and 4,784.42

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Solution

The fourth proportional to 8,141.46, 11,237.18 and 4,784.42 is: 6,603.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.46 : 11,237.18 = 4,784.42 : x
  2. Step 2: Convert to fraction form
    8,141.46/11,237.18 = 4,784.42/x
  3. Step 3: Cross multiply
    8,141.46x = 11,237.18 × 4,784.42
  4. Step 4: Simplify right side
    8,141.46x = 53,763,308.63
  5. Step 5: Solve for x
    x = 53,763,308.63/8,141.46
  6. Step 6: Final answer
    x = 6,603.64

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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.