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Finding the Fourth Proportional to 11,608.81, 16,023.59 and 7,130.92

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Solution

The fourth proportional to 11,608.81, 16,023.59 and 7,130.92 is: 9,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.81 : 16,023.59 = 7,130.92 : x
  2. Step 2: Convert to fraction form
    11,608.81/16,023.59 = 7,130.92/x
  3. Step 3: Cross multiply
    11,608.81x = 16,023.59 × 7,130.92
  4. Step 4: Simplify right side
    11,608.81x = 114,262,938.40
  5. Step 5: Solve for x
    x = 114,262,938.40/11,608.81
  6. Step 6: Final answer
    x = 9,842.78

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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.