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Finding the Fourth Proportional to 11,615.19, 16,029.36 and 7,140.44

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Solution

The fourth proportional to 11,615.19, 16,029.36 and 7,140.44 is: 9,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.19 : 16,029.36 = 7,140.44 : x
  2. Step 2: Convert to fraction form
    11,615.19/16,029.36 = 7,140.44/x
  3. Step 3: Cross multiply
    11,615.19x = 16,029.36 × 7,140.44
  4. Step 4: Simplify right side
    11,615.19x = 114,456,683.32
  5. Step 5: Solve for x
    x = 114,456,683.32/11,615.19
  6. Step 6: Final answer
    x = 9,854.05

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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.