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Finding the Fourth Proportional to 11,415.49, 15,760.80 and 10,218.40

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Solution

The fourth proportional to 11,415.49, 15,760.80 and 10,218.40 is: 14,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.49 : 15,760.80 = 10,218.40 : x
  2. Step 2: Convert to fraction form
    11,415.49/15,760.80 = 10,218.40/x
  3. Step 3: Cross multiply
    11,415.49x = 15,760.80 × 10,218.40
  4. Step 4: Simplify right side
    11,415.49x = 161,050,158.72
  5. Step 5: Solve for x
    x = 161,050,158.72/11,415.49
  6. Step 6: Final answer
    x = 14,108.04

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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.