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Finding the Fourth Proportional to 11,557.50, 15,941.19 and 7,083.41

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Solution

The fourth proportional to 11,557.50, 15,941.19 and 7,083.41 is: 9,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.50 : 15,941.19 = 7,083.41 : x
  2. Step 2: Convert to fraction form
    11,557.50/15,941.19 = 7,083.41/x
  3. Step 3: Cross multiply
    11,557.50x = 15,941.19 × 7,083.41
  4. Step 4: Simplify right side
    11,557.50x = 112,917,984.66
  5. Step 5: Solve for x
    x = 112,917,984.66/11,557.50
  6. Step 6: Final answer
    x = 9,770.10

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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.