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Finding the Fourth Proportional to 8,460.91, 11,675.91 and 4,684.00

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Solution

The fourth proportional to 8,460.91, 11,675.91 and 4,684.00 is: 6,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.91 : 11,675.91 = 4,684.00 : x
  2. Step 2: Convert to fraction form
    8,460.91/11,675.91 = 4,684.00/x
  3. Step 3: Cross multiply
    8,460.91x = 11,675.91 × 4,684.00
  4. Step 4: Simplify right side
    8,460.91x = 54,689,904.06
  5. Step 5: Solve for x
    x = 54,689,904.06/8,460.91
  6. Step 6: Final answer
    x = 6,463.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.