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Finding the Fourth Proportional to 10,420.53, 15,630.36 and 3,024.84

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Solution

The fourth proportional to 10,420.53, 15,630.36 and 3,024.84 is: 4,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.53 : 15,630.36 = 3,024.84 : x
  2. Step 2: Convert to fraction form
    10,420.53/15,630.36 = 3,024.84/x
  3. Step 3: Cross multiply
    10,420.53x = 15,630.36 × 3,024.84
  4. Step 4: Simplify right side
    10,420.53x = 47,279,338.14
  5. Step 5: Solve for x
    x = 47,279,338.14/10,420.53
  6. Step 6: Final answer
    x = 4,537.13

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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.