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Finding the Fourth Proportional to 10,349.40, 14,282.40 and 5,633.92

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Solution

The fourth proportional to 10,349.40, 14,282.40 and 5,633.92 is: 7,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.40 : 14,282.40 = 5,633.92 : x
  2. Step 2: Convert to fraction form
    10,349.40/14,282.40 = 5,633.92/x
  3. Step 3: Cross multiply
    10,349.40x = 14,282.40 × 5,633.92
  4. Step 4: Simplify right side
    10,349.40x = 80,465,899.01
  5. Step 5: Solve for x
    x = 80,465,899.01/10,349.40
  6. Step 6: Final answer
    x = 7,774.93

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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.