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Finding the Fourth Proportional to 8,353.29, 12,525.62 and 2,509.14

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Solution

The fourth proportional to 8,353.29, 12,525.62 and 2,509.14 is: 3,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,353.29 : 12,525.62 = 2,509.14 : x
  2. Step 2: Convert to fraction form
    8,353.29/12,525.62 = 2,509.14/x
  3. Step 3: Cross multiply
    8,353.29x = 12,525.62 × 2,509.14
  4. Step 4: Simplify right side
    8,353.29x = 31,428,521.62
  5. Step 5: Solve for x
    x = 31,428,521.62/8,353.29
  6. Step 6: Final answer
    x = 3,762.41

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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.