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Finding the Fourth Proportional to 10,353.10, 14,287.23 and 5,637.28

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Solution

The fourth proportional to 10,353.10, 14,287.23 and 5,637.28 is: 7,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.10 : 14,287.23 = 5,637.28 : x
  2. Step 2: Convert to fraction form
    10,353.10/14,287.23 = 5,637.28/x
  3. Step 3: Cross multiply
    10,353.10x = 14,287.23 × 5,637.28
  4. Step 4: Simplify right side
    10,353.10x = 80,541,080.22
  5. Step 5: Solve for x
    x = 80,541,080.22/10,353.10
  6. Step 6: Final answer
    x = 7,779.42

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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.