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Finding the Fourth Proportional to 10,602.70, 15,905.80 and 3,583.38

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Solution

The fourth proportional to 10,602.70, 15,905.80 and 3,583.38 is: 5,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.70 : 15,905.80 = 3,583.38 : x
  2. Step 2: Convert to fraction form
    10,602.70/15,905.80 = 3,583.38/x
  3. Step 3: Cross multiply
    10,602.70x = 15,905.80 × 3,583.38
  4. Step 4: Simplify right side
    10,602.70x = 56,996,525.60
  5. Step 5: Solve for x
    x = 56,996,525.60/10,602.70
  6. Step 6: Final answer
    x = 5,375.66

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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.