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Finding the Fourth Proportional to 10,368.51, 14,308.82 and 5,653.09

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Solution

The fourth proportional to 10,368.51, 14,308.82 and 5,653.09 is: 7,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.51 : 14,308.82 = 5,653.09 : x
  2. Step 2: Convert to fraction form
    10,368.51/14,308.82 = 5,653.09/x
  3. Step 3: Cross multiply
    10,368.51x = 14,308.82 × 5,653.09
  4. Step 4: Simplify right side
    10,368.51x = 80,889,047.25
  5. Step 5: Solve for x
    x = 80,889,047.25/10,368.51
  6. Step 6: Final answer
    x = 7,801.41

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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.