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Finding the Fourth Proportional to 8,264.63, 12,397.01 and 3,070.50

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Solution

The fourth proportional to 8,264.63, 12,397.01 and 3,070.50 is: 4,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.63 : 12,397.01 = 3,070.50 : x
  2. Step 2: Convert to fraction form
    8,264.63/12,397.01 = 3,070.50/x
  3. Step 3: Cross multiply
    8,264.63x = 12,397.01 × 3,070.50
  4. Step 4: Simplify right side
    8,264.63x = 38,065,003.85
  5. Step 5: Solve for x
    x = 38,065,003.85/8,264.63
  6. Step 6: Final answer
    x = 4,605.78

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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.