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Finding the Fourth Proportional to 10,404.64, 14,359.73 and 5,930

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Solution

The fourth proportional to 10,404.64, 14,359.73 and 5,930 is: 8,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.64 : 14,359.73 = 5,930 : x
  2. Step 2: Convert to fraction form
    10,404.64/14,359.73 = 5,930/x
  3. Step 3: Cross multiply
    10,404.64x = 14,359.73 × 5,930
  4. Step 4: Simplify right side
    10,404.64x = 85,153,198.90
  5. Step 5: Solve for x
    x = 85,153,198.90/10,404.64
  6. Step 6: Final answer
    x = 8,184.16

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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.