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Finding the Fourth Proportional to 10,262.90, 15,388.16 and 4,015.45

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Solution

The fourth proportional to 10,262.90, 15,388.16 and 4,015.45 is: 6,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.90 : 15,388.16 = 4,015.45 : x
  2. Step 2: Convert to fraction form
    10,262.90/15,388.16 = 4,015.45/x
  3. Step 3: Cross multiply
    10,262.90x = 15,388.16 × 4,015.45
  4. Step 4: Simplify right side
    10,262.90x = 61,790,328.52
  5. Step 5: Solve for x
    x = 61,790,328.52/10,262.90
  6. Step 6: Final answer
    x = 6,020.75

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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.