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Finding the Fourth Proportional to 11,312.82, 15,612.11 and 6,835.71

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Solution

The fourth proportional to 11,312.82, 15,612.11 and 6,835.71 is: 9,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.82 : 15,612.11 = 6,835.71 : x
  2. Step 2: Convert to fraction form
    11,312.82/15,612.11 = 6,835.71/x
  3. Step 3: Cross multiply
    11,312.82x = 15,612.11 × 6,835.71
  4. Step 4: Simplify right side
    11,312.82x = 106,719,856.45
  5. Step 5: Solve for x
    x = 106,719,856.45/11,312.82
  6. Step 6: Final answer
    x = 9,433.53

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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.