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Finding the Fourth Proportional to 8,299.60, 11,455.40 and 5,158.16

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Solution

The fourth proportional to 8,299.60, 11,455.40 and 5,158.16 is: 7,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.60 : 11,455.40 = 5,158.16 : x
  2. Step 2: Convert to fraction form
    8,299.60/11,455.40 = 5,158.16/x
  3. Step 3: Cross multiply
    8,299.60x = 11,455.40 × 5,158.16
  4. Step 4: Simplify right side
    8,299.60x = 59,088,786.06
  5. Step 5: Solve for x
    x = 59,088,786.06/8,299.60
  6. Step 6: Final answer
    x = 7,119.47

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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.