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Finding the Fourth Proportional to 8,500.30, 12,750.46 and 2,656.94

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Solution

The fourth proportional to 8,500.30, 12,750.46 and 2,656.94 is: 3,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.30 : 12,750.46 = 2,656.94 : x
  2. Step 2: Convert to fraction form
    8,500.30/12,750.46 = 2,656.94/x
  3. Step 3: Cross multiply
    8,500.30x = 12,750.46 × 2,656.94
  4. Step 4: Simplify right side
    8,500.30x = 33,877,207.19
  5. Step 5: Solve for x
    x = 33,877,207.19/8,500.30
  6. Step 6: Final answer
    x = 3,985.41

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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.