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Finding the Fourth Proportional to 11,130.92, 15,361.16 and 6,415.88

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Solution

The fourth proportional to 11,130.92, 15,361.16 and 6,415.88 is: 8,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130.92 : 15,361.16 = 6,415.88 : x
  2. Step 2: Convert to fraction form
    11,130.92/15,361.16 = 6,415.88/x
  3. Step 3: Cross multiply
    11,130.92x = 15,361.16 × 6,415.88
  4. Step 4: Simplify right side
    11,130.92x = 98,555,359.22
  5. Step 5: Solve for x
    x = 98,555,359.22/11,130.92
  6. Step 6: Final answer
    x = 8,854.20

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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.