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Finding the Fourth Proportional to 11,587.21, 15,989.15 and 7,111.15

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Solution

The fourth proportional to 11,587.21, 15,989.15 and 7,111.15 is: 9,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.21 : 15,989.15 = 7,111.15 : x
  2. Step 2: Convert to fraction form
    11,587.21/15,989.15 = 7,111.15/x
  3. Step 3: Cross multiply
    11,587.21x = 15,989.15 × 7,111.15
  4. Step 4: Simplify right side
    11,587.21x = 113,701,221.83
  5. Step 5: Solve for x
    x = 113,701,221.83/11,587.21
  6. Step 6: Final answer
    x = 9,812.65

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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.