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Finding the Fourth Proportional to 10,369.06, 14,308.86 and 5,653.36

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Solution

The fourth proportional to 10,369.06, 14,308.86 and 5,653.36 is: 7,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.06 : 14,308.86 = 5,653.36 : x
  2. Step 2: Convert to fraction form
    10,369.06/14,308.86 = 5,653.36/x
  3. Step 3: Cross multiply
    10,369.06x = 14,308.86 × 5,653.36
  4. Step 4: Simplify right side
    10,369.06x = 80,893,136.77
  5. Step 5: Solve for x
    x = 80,893,136.77/10,369.06
  6. Step 6: Final answer
    x = 7,801.40

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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.