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Finding the Fourth Proportional to 8,509.36, 12,762.54 and 4,125.64

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Solution

The fourth proportional to 8,509.36, 12,762.54 and 4,125.64 is: 6,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.36 : 12,762.54 = 4,125.64 : x
  2. Step 2: Convert to fraction form
    8,509.36/12,762.54 = 4,125.64/x
  3. Step 3: Cross multiply
    8,509.36x = 12,762.54 × 4,125.64
  4. Step 4: Simplify right side
    8,509.36x = 52,653,645.53
  5. Step 5: Solve for x
    x = 52,653,645.53/8,509.36
  6. Step 6: Final answer
    x = 6,187.73

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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.