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Finding the Fourth Proportional to 8,503.10, 12,757.17 and 4,064.08

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Solution

The fourth proportional to 8,503.10, 12,757.17 and 4,064.08 is: 6,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.10 : 12,757.17 = 4,064.08 : x
  2. Step 2: Convert to fraction form
    8,503.10/12,757.17 = 4,064.08/x
  3. Step 3: Cross multiply
    8,503.10x = 12,757.17 × 4,064.08
  4. Step 4: Simplify right side
    8,503.10x = 51,846,159.45
  5. Step 5: Solve for x
    x = 51,846,159.45/8,503.10
  6. Step 6: Final answer
    x = 6,097.32

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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.