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Finding the Fourth Proportional to 11,327.10, 15,630.86 and 6,291.64

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Solution

The fourth proportional to 11,327.10, 15,630.86 and 6,291.64 is: 8,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.10 : 15,630.86 = 6,291.64 : x
  2. Step 2: Convert to fraction form
    11,327.10/15,630.86 = 6,291.64/x
  3. Step 3: Cross multiply
    11,327.10x = 15,630.86 × 6,291.64
  4. Step 4: Simplify right side
    11,327.10x = 98,343,744.01
  5. Step 5: Solve for x
    x = 98,343,744.01/11,327.10
  6. Step 6: Final answer
    x = 8,682.16

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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.