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Finding the Fourth Proportional to 8,354.05, 12,527.40 and 2,509.30

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Solution

The fourth proportional to 8,354.05, 12,527.40 and 2,509.30 is: 3,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.05 : 12,527.40 = 2,509.30 : x
  2. Step 2: Convert to fraction form
    8,354.05/12,527.40 = 2,509.30/x
  3. Step 3: Cross multiply
    8,354.05x = 12,527.40 × 2,509.30
  4. Step 4: Simplify right side
    8,354.05x = 31,435,004.82
  5. Step 5: Solve for x
    x = 31,435,004.82/8,354.05
  6. Step 6: Final answer
    x = 3,762.85

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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.