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Finding the Fourth Proportional to 10,369, 14,308.74 and 5,653.24

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Solution

The fourth proportional to 10,369, 14,308.74 and 5,653.24 is: 7,801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369 : 14,308.74 = 5,653.24 : x
  2. Step 2: Convert to fraction form
    10,369/14,308.74 = 5,653.24/x
  3. Step 3: Cross multiply
    10,369x = 14,308.74 × 5,653.24
  4. Step 4: Simplify right side
    10,369x = 80,890,741.32
  5. Step 5: Solve for x
    x = 80,890,741.32/10,369
  6. Step 6: Final answer
    x = 7,801.21

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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.