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Finding the Fourth Proportional to 8,686.50, 13,029.78 and 2,530.50

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Solution

The fourth proportional to 8,686.50, 13,029.78 and 2,530.50 is: 3,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.50 : 13,029.78 = 2,530.50 : x
  2. Step 2: Convert to fraction form
    8,686.50/13,029.78 = 2,530.50/x
  3. Step 3: Cross multiply
    8,686.50x = 13,029.78 × 2,530.50
  4. Step 4: Simplify right side
    8,686.50x = 32,971,858.29
  5. Step 5: Solve for x
    x = 32,971,858.29/8,686.50
  6. Step 6: Final answer
    x = 3,795.76

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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.