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Finding the Fourth Proportional to 10,230.68, 15,346.20 and 3,661.58

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Solution

The fourth proportional to 10,230.68, 15,346.20 and 3,661.58 is: 5,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.68 : 15,346.20 = 3,661.58 : x
  2. Step 2: Convert to fraction form
    10,230.68/15,346.20 = 3,661.58/x
  3. Step 3: Cross multiply
    10,230.68x = 15,346.20 × 3,661.58
  4. Step 4: Simplify right side
    10,230.68x = 56,191,339.00
  5. Step 5: Solve for x
    x = 56,191,339.00/10,230.68
  6. Step 6: Final answer
    x = 5,492.43

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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.