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Finding the Fourth Proportional to 10,680.96, 14,719.68 and 8,319.36

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Solution

The fourth proportional to 10,680.96, 14,719.68 and 8,319.36 is: 11,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.96 : 14,719.68 = 8,319.36 : x
  2. Step 2: Convert to fraction form
    10,680.96/14,719.68 = 8,319.36/x
  3. Step 3: Cross multiply
    10,680.96x = 14,719.68 × 8,319.36
  4. Step 4: Simplify right side
    10,680.96x = 122,458,317.00
  5. Step 5: Solve for x
    x = 122,458,317.00/10,680.96
  6. Step 6: Final answer
    x = 11,465.10

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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.