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Finding the Fourth Proportional to 8,461.95, 12,693.73 and 2,305.95

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Solution

The fourth proportional to 8,461.95, 12,693.73 and 2,305.95 is: 3,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.95 : 12,693.73 = 2,305.95 : x
  2. Step 2: Convert to fraction form
    8,461.95/12,693.73 = 2,305.95/x
  3. Step 3: Cross multiply
    8,461.95x = 12,693.73 × 2,305.95
  4. Step 4: Simplify right side
    8,461.95x = 29,271,095.16
  5. Step 5: Solve for x
    x = 29,271,095.16/8,461.95
  6. Step 6: Final answer
    x = 3,459.14

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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.