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Finding the Fourth Proportional to 8,342.33, 12,464.48 and 8,051.60

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Solution

The fourth proportional to 8,342.33, 12,464.48 and 8,051.60 is: 12,030.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.33 : 12,464.48 = 8,051.60 : x
  2. Step 2: Convert to fraction form
    8,342.33/12,464.48 = 8,051.60/x
  3. Step 3: Cross multiply
    8,342.33x = 12,464.48 × 8,051.60
  4. Step 4: Simplify right side
    8,342.33x = 100,359,058.46
  5. Step 5: Solve for x
    x = 100,359,058.46/8,342.33
  6. Step 6: Final answer
    x = 12,030.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.