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Finding the Fourth Proportional to 10,053.02, 15,080.70 and 3,817.70

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Solution

The fourth proportional to 10,053.02, 15,080.70 and 3,817.70 is: 5,726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.02 : 15,080.70 = 3,817.70 : x
  2. Step 2: Convert to fraction form
    10,053.02/15,080.70 = 3,817.70/x
  3. Step 3: Cross multiply
    10,053.02x = 15,080.70 × 3,817.70
  4. Step 4: Simplify right side
    10,053.02x = 57,573,588.39
  5. Step 5: Solve for x
    x = 57,573,588.39/10,053.02
  6. Step 6: Final answer
    x = 5,726.99

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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.