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Finding the Fourth Proportional to 10,415.30, 15,625.68 and 3,020.44

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Solution

The fourth proportional to 10,415.30, 15,625.68 and 3,020.44 is: 4,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.30 : 15,625.68 = 3,020.44 : x
  2. Step 2: Convert to fraction form
    10,415.30/15,625.68 = 3,020.44/x
  3. Step 3: Cross multiply
    10,415.30x = 15,625.68 × 3,020.44
  4. Step 4: Simplify right side
    10,415.30x = 47,196,428.90
  5. Step 5: Solve for x
    x = 47,196,428.90/10,415.30
  6. Step 6: Final answer
    x = 4,531.45

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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.