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Finding the Fourth Proportional to 11,612.81, 16,031.57 and 7,368.20

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Solution

The fourth proportional to 11,612.81, 16,031.57 and 7,368.20 is: 10,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.81 : 16,031.57 = 7,368.20 : x
  2. Step 2: Convert to fraction form
    11,612.81/16,031.57 = 7,368.20/x
  3. Step 3: Cross multiply
    11,612.81x = 16,031.57 × 7,368.20
  4. Step 4: Simplify right side
    11,612.81x = 118,123,697.08
  5. Step 5: Solve for x
    x = 118,123,697.08/11,612.81
  6. Step 6: Final answer
    x = 10,171.85

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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.