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Finding the Fourth Proportional to 12,076.64, 16,663.50 and 7,773.52

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Solution

The fourth proportional to 12,076.64, 16,663.50 and 7,773.52 is: 10,726.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.64 : 16,663.50 = 7,773.52 : x
  2. Step 2: Convert to fraction form
    12,076.64/16,663.50 = 7,773.52/x
  3. Step 3: Cross multiply
    12,076.64x = 16,663.50 × 7,773.52
  4. Step 4: Simplify right side
    12,076.64x = 129,534,050.52
  5. Step 5: Solve for x
    x = 129,534,050.52/12,076.64
  6. Step 6: Final answer
    x = 10,726.00

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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.