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Finding the Fourth Proportional to 11,670.49, 17,509.20 and 5,434.18

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Solution

The fourth proportional to 11,670.49, 17,509.20 and 5,434.18 is: 8,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.49 : 17,509.20 = 5,434.18 : x
  2. Step 2: Convert to fraction form
    11,670.49/17,509.20 = 5,434.18/x
  3. Step 3: Cross multiply
    11,670.49x = 17,509.20 × 5,434.18
  4. Step 4: Simplify right side
    11,670.49x = 95,148,144.46
  5. Step 5: Solve for x
    x = 95,148,144.46/11,670.49
  6. Step 6: Final answer
    x = 8,152.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.