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Finding the Fourth Proportional to 8,460.59, 12,693.11 and 3,195.68

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Solution

The fourth proportional to 8,460.59, 12,693.11 and 3,195.68 is: 4,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.59 : 12,693.11 = 3,195.68 : x
  2. Step 2: Convert to fraction form
    8,460.59/12,693.11 = 3,195.68/x
  3. Step 3: Cross multiply
    8,460.59x = 12,693.11 × 3,195.68
  4. Step 4: Simplify right side
    8,460.59x = 40,563,038.32
  5. Step 5: Solve for x
    x = 40,563,038.32/8,460.59
  6. Step 6: Final answer
    x = 4,794.35

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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.