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Finding the Fourth Proportional to 11,327.66, 15,631.64 and 6,292.20

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Solution

The fourth proportional to 11,327.66, 15,631.64 and 6,292.20 is: 8,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,327.66 : 15,631.64 = 6,292.20 : x
  2. Step 2: Convert to fraction form
    11,327.66/15,631.64 = 6,292.20/x
  3. Step 3: Cross multiply
    11,327.66x = 15,631.64 × 6,292.20
  4. Step 4: Simplify right side
    11,327.66x = 98,357,373.75
  5. Step 5: Solve for x
    x = 98,357,373.75/11,327.66
  6. Step 6: Final answer
    x = 8,682.94

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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.