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Finding the Fourth Proportional to 10,042.56, 15,065.10 and 3,021.48

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Solution

The fourth proportional to 10,042.56, 15,065.10 and 3,021.48 is: 4,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.56 : 15,065.10 = 3,021.48 : x
  2. Step 2: Convert to fraction form
    10,042.56/15,065.10 = 3,021.48/x
  3. Step 3: Cross multiply
    10,042.56x = 15,065.10 × 3,021.48
  4. Step 4: Simplify right side
    10,042.56x = 45,518,898.35
  5. Step 5: Solve for x
    x = 45,518,898.35/10,042.56
  6. Step 6: Final answer
    x = 4,532.60

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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.