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Finding the Fourth Proportional to 8,460.75, 11,675.54 and 4,684.08

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Solution

The fourth proportional to 8,460.75, 11,675.54 and 4,684.08 is: 6,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.75 : 11,675.54 = 4,684.08 : x
  2. Step 2: Convert to fraction form
    8,460.75/11,675.54 = 4,684.08/x
  3. Step 3: Cross multiply
    8,460.75x = 11,675.54 × 4,684.08
  4. Step 4: Simplify right side
    8,460.75x = 54,689,175.11
  5. Step 5: Solve for x
    x = 54,689,175.11/8,460.75
  6. Step 6: Final answer
    x = 6,463.87

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