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Finding the Fourth Proportional to 11,587.96, 17,385.54 and 7,884.76

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Solution

The fourth proportional to 11,587.96, 17,385.54 and 7,884.76 is: 11,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.96 : 17,385.54 = 7,884.76 : x
  2. Step 2: Convert to fraction form
    11,587.96/17,385.54 = 7,884.76/x
  3. Step 3: Cross multiply
    11,587.96x = 17,385.54 × 7,884.76
  4. Step 4: Simplify right side
    11,587.96x = 137,080,810.37
  5. Step 5: Solve for x
    x = 137,080,810.37/11,587.96
  6. Step 6: Final answer
    x = 11,829.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.