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Finding the Fourth Proportional to 10,062.63, 15,084.63 and 3,820.77

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Solution

The fourth proportional to 10,062.63, 15,084.63 and 3,820.77 is: 5,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.63 : 15,084.63 = 3,820.77 : x
  2. Step 2: Convert to fraction form
    10,062.63/15,084.63 = 3,820.77/x
  3. Step 3: Cross multiply
    10,062.63x = 15,084.63 × 3,820.77
  4. Step 4: Simplify right side
    10,062.63x = 57,634,901.77
  5. Step 5: Solve for x
    x = 57,634,901.77/10,062.63
  6. Step 6: Final answer
    x = 5,727.62

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Why These Related Problems?

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