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Finding the Fourth Proportional to 8,319.60, 11,457.72 and 8,138.16

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Solution

The fourth proportional to 8,319.60, 11,457.72 and 8,138.16 is: 11,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.60 : 11,457.72 = 8,138.16 : x
  2. Step 2: Convert to fraction form
    8,319.60/11,457.72 = 8,138.16/x
  3. Step 3: Cross multiply
    8,319.60x = 11,457.72 × 8,138.16
  4. Step 4: Simplify right side
    8,319.60x = 93,244,758.60
  5. Step 5: Solve for x
    x = 93,244,758.60/8,319.60
  6. Step 6: Final answer
    x = 11,207.84

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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.