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Finding the Fourth Proportional to 11,071.83, 15,274.40 and 10,311.24

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Solution

The fourth proportional to 11,071.83, 15,274.40 and 10,311.24 is: 14,225.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.83 : 15,274.40 = 10,311.24 : x
  2. Step 2: Convert to fraction form
    11,071.83/15,274.40 = 10,311.24/x
  3. Step 3: Cross multiply
    11,071.83x = 15,274.40 × 10,311.24
  4. Step 4: Simplify right side
    11,071.83x = 157,497,952.70
  5. Step 5: Solve for x
    x = 157,497,952.70/11,071.83
  6. Step 6: Final answer
    x = 14,225.11

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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.