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Finding the Fourth Proportional to 12,881.37, 17,776.53 and 7,845.78

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Solution

The fourth proportional to 12,881.37, 17,776.53 and 7,845.78 is: 10,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.37 : 17,776.53 = 7,845.78 : x
  2. Step 2: Convert to fraction form
    12,881.37/17,776.53 = 7,845.78/x
  3. Step 3: Cross multiply
    12,881.37x = 17,776.53 × 7,845.78
  4. Step 4: Simplify right side
    12,881.37x = 139,470,743.54
  5. Step 5: Solve for x
    x = 139,470,743.54/12,881.37
  6. Step 6: Final answer
    x = 10,827.32

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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.