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Finding the Fourth Proportional to 10,020.31, 15,026.31 and 3,779.26

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Solution

The fourth proportional to 10,020.31, 15,026.31 and 3,779.26 is: 5,667.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.31 : 15,026.31 = 3,779.26 : x
  2. Step 2: Convert to fraction form
    10,020.31/15,026.31 = 3,779.26/x
  3. Step 3: Cross multiply
    10,020.31x = 15,026.31 × 3,779.26
  4. Step 4: Simplify right side
    10,020.31x = 56,788,294.76
  5. Step 5: Solve for x
    x = 56,788,294.76/10,020.31
  6. Step 6: Final answer
    x = 5,667.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.