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Finding the Fourth Proportional to 8,352.83, 12,525.53 and 2,509.89

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Solution

The fourth proportional to 8,352.83, 12,525.53 and 2,509.89 is: 3,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.83 : 12,525.53 = 2,509.89 : x
  2. Step 2: Convert to fraction form
    8,352.83/12,525.53 = 2,509.89/x
  3. Step 3: Cross multiply
    8,352.83x = 12,525.53 × 2,509.89
  4. Step 4: Simplify right side
    8,352.83x = 31,437,689.94
  5. Step 5: Solve for x
    x = 31,437,689.94/8,352.83
  6. Step 6: Final answer
    x = 3,763.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.