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Finding the Fourth Proportional to 11,517.66, 15,889.37 and 7,041.60

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Solution

The fourth proportional to 11,517.66, 15,889.37 and 7,041.60 is: 9,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.66 : 15,889.37 = 7,041.60 : x
  2. Step 2: Convert to fraction form
    11,517.66/15,889.37 = 7,041.60/x
  3. Step 3: Cross multiply
    11,517.66x = 15,889.37 × 7,041.60
  4. Step 4: Simplify right side
    11,517.66x = 111,886,552.58
  5. Step 5: Solve for x
    x = 111,886,552.58/11,517.66
  6. Step 6: Final answer
    x = 9,714.35

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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.