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Finding the Fourth Proportional to 8,460.42, 11,673.72 and 5,314.78

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Solution

The fourth proportional to 8,460.42, 11,673.72 and 5,314.78 is: 7,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.42 : 11,673.72 = 5,314.78 : x
  2. Step 2: Convert to fraction form
    8,460.42/11,673.72 = 5,314.78/x
  3. Step 3: Cross multiply
    8,460.42x = 11,673.72 × 5,314.78
  4. Step 4: Simplify right side
    8,460.42x = 62,043,268.17
  5. Step 5: Solve for x
    x = 62,043,268.17/8,460.42
  6. Step 6: Final answer
    x = 7,333.36

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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.