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Finding the Fourth Proportional to 12,042.56, 16,615.94 and 7,003.77

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Solution

The fourth proportional to 12,042.56, 16,615.94 and 7,003.77 is: 9,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.56 : 16,615.94 = 7,003.77 : x
  2. Step 2: Convert to fraction form
    12,042.56/16,615.94 = 7,003.77/x
  3. Step 3: Cross multiply
    12,042.56x = 16,615.94 × 7,003.77
  4. Step 4: Simplify right side
    12,042.56x = 116,374,187.07
  5. Step 5: Solve for x
    x = 116,374,187.07/12,042.56
  6. Step 6: Final answer
    x = 9,663.58

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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.