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Finding the Fourth Proportional to 8,508.50, 11,741.73 and 4,782.50

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Solution

The fourth proportional to 8,508.50, 11,741.73 and 4,782.50 is: 6,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.50 : 11,741.73 = 4,782.50 : x
  2. Step 2: Convert to fraction form
    8,508.50/11,741.73 = 4,782.50/x
  3. Step 3: Cross multiply
    8,508.50x = 11,741.73 × 4,782.50
  4. Step 4: Simplify right side
    8,508.50x = 56,154,823.73
  5. Step 5: Solve for x
    x = 56,154,823.73/8,508.50
  6. Step 6: Final answer
    x = 6,599.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.