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Finding the Fourth Proportional to 11,659.60, 16,090.64 and 6,623.76

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Solution

The fourth proportional to 11,659.60, 16,090.64 and 6,623.76 is: 9,141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.60 : 16,090.64 = 6,623.76 : x
  2. Step 2: Convert to fraction form
    11,659.60/16,090.64 = 6,623.76/x
  3. Step 3: Cross multiply
    11,659.60x = 16,090.64 × 6,623.76
  4. Step 4: Simplify right side
    11,659.60x = 106,580,537.61
  5. Step 5: Solve for x
    x = 106,580,537.61/11,659.60
  6. Step 6: Final answer
    x = 9,141.01

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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.