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Finding the Fourth Proportional to 10,202.76, 15,302.37 and 2,805.46

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Solution

The fourth proportional to 10,202.76, 15,302.37 and 2,805.46 is: 4,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.76 : 15,302.37 = 2,805.46 : x
  2. Step 2: Convert to fraction form
    10,202.76/15,302.37 = 2,805.46/x
  3. Step 3: Cross multiply
    10,202.76x = 15,302.37 × 2,805.46
  4. Step 4: Simplify right side
    10,202.76x = 42,930,159.20
  5. Step 5: Solve for x
    x = 42,930,159.20/10,202.76
  6. Step 6: Final answer
    x = 4,207.70

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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.