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Finding the Fourth Proportional to 10,347.37, 14,279.43 and 5,631.64

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Solution

The fourth proportional to 10,347.37, 14,279.43 and 5,631.64 is: 7,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.37 : 14,279.43 = 5,631.64 : x
  2. Step 2: Convert to fraction form
    10,347.37/14,279.43 = 5,631.64/x
  3. Step 3: Cross multiply
    10,347.37x = 14,279.43 × 5,631.64
  4. Step 4: Simplify right side
    10,347.37x = 80,416,609.17
  5. Step 5: Solve for x
    x = 80,416,609.17/10,347.37
  6. Step 6: Final answer
    x = 7,771.70

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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.