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Finding the Fourth Proportional to 5,666.78, 8,499.49 and 1,507.11

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Solution

The fourth proportional to 5,666.78, 8,499.49 and 1,507.11 is: 2,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.78 : 8,499.49 = 1,507.11 : x
  2. Step 2: Convert to fraction form
    5,666.78/8,499.49 = 1,507.11/x
  3. Step 3: Cross multiply
    5,666.78x = 8,499.49 × 1,507.11
  4. Step 4: Simplify right side
    5,666.78x = 12,809,666.37
  5. Step 5: Solve for x
    x = 12,809,666.37/5,666.78
  6. Step 6: Final answer
    x = 2,260.48

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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.