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Finding the Fourth Proportional to 10,455.84, 15,666.12 and 5,183.82

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Solution

The fourth proportional to 10,455.84, 15,666.12 and 5,183.82 is: 7,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.84 : 15,666.12 = 5,183.82 : x
  2. Step 2: Convert to fraction form
    10,455.84/15,666.12 = 5,183.82/x
  3. Step 3: Cross multiply
    10,455.84x = 15,666.12 × 5,183.82
  4. Step 4: Simplify right side
    10,455.84x = 81,210,346.18
  5. Step 5: Solve for x
    x = 81,210,346.18/10,455.84
  6. Step 6: Final answer
    x = 7,766.98

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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.