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Finding the Fourth Proportional to 11,494.28, 15,861.64 and 7,465.16

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Solution

The fourth proportional to 11,494.28, 15,861.64 and 7,465.16 is: 10,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.28 : 15,861.64 = 7,465.16 : x
  2. Step 2: Convert to fraction form
    11,494.28/15,861.64 = 7,465.16/x
  3. Step 3: Cross multiply
    11,494.28x = 15,861.64 × 7,465.16
  4. Step 4: Simplify right side
    11,494.28x = 118,409,680.46
  5. Step 5: Solve for x
    x = 118,409,680.46/11,494.28
  6. Step 6: Final answer
    x = 10,301.62

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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.