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Finding the Fourth Proportional to 10,369.32, 14,309.54 and 5,653.64

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Solution

The fourth proportional to 10,369.32, 14,309.54 and 5,653.64 is: 7,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.32 : 14,309.54 = 5,653.64 : x
  2. Step 2: Convert to fraction form
    10,369.32/14,309.54 = 5,653.64/x
  3. Step 3: Cross multiply
    10,369.32x = 14,309.54 × 5,653.64
  4. Step 4: Simplify right side
    10,369.32x = 80,900,987.73
  5. Step 5: Solve for x
    x = 80,900,987.73/10,369.32
  6. Step 6: Final answer
    x = 7,801.96

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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.