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Finding the Fourth Proportional to 10,349.64, 14,282.12 and 5,633.82

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Solution

The fourth proportional to 10,349.64, 14,282.12 and 5,633.82 is: 7,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.64 : 14,282.12 = 5,633.82 : x
  2. Step 2: Convert to fraction form
    10,349.64/14,282.12 = 5,633.82/x
  3. Step 3: Cross multiply
    10,349.64x = 14,282.12 × 5,633.82
  4. Step 4: Simplify right side
    10,349.64x = 80,462,907.38
  5. Step 5: Solve for x
    x = 80,462,907.38/10,349.64
  6. Step 6: Final answer
    x = 7,774.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.