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Finding the Fourth Proportional to 10,052.51, 15,063.15 and 3,809.15

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Solution

The fourth proportional to 10,052.51, 15,063.15 and 3,809.15 is: 5,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.51 : 15,063.15 = 3,809.15 : x
  2. Step 2: Convert to fraction form
    10,052.51/15,063.15 = 3,809.15/x
  3. Step 3: Cross multiply
    10,052.51x = 15,063.15 × 3,809.15
  4. Step 4: Simplify right side
    10,052.51x = 57,377,722.51
  5. Step 5: Solve for x
    x = 57,377,722.51/10,052.51
  6. Step 6: Final answer
    x = 5,707.80

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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.