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Finding the Fourth Proportional to 10,462, 15,691.85 and 3,066.54

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Solution

The fourth proportional to 10,462, 15,691.85 and 3,066.54 is: 4,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462 : 15,691.85 = 3,066.54 : x
  2. Step 2: Convert to fraction form
    10,462/15,691.85 = 3,066.54/x
  3. Step 3: Cross multiply
    10,462x = 15,691.85 × 3,066.54
  4. Step 4: Simplify right side
    10,462x = 48,119,591.91
  5. Step 5: Solve for x
    x = 48,119,591.91/10,462
  6. Step 6: Final answer
    x = 4,599.46

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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.