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Finding the Fourth Proportional to 8,460.96, 12,696.24 and 4,565.28

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Solution

The fourth proportional to 8,460.96, 12,696.24 and 4,565.28 is: 6,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.96 : 12,696.24 = 4,565.28 : x
  2. Step 2: Convert to fraction form
    8,460.96/12,696.24 = 4,565.28/x
  3. Step 3: Cross multiply
    8,460.96x = 12,696.24 × 4,565.28
  4. Step 4: Simplify right side
    8,460.96x = 57,961,890.55
  5. Step 5: Solve for x
    x = 57,961,890.55/8,460.96
  6. Step 6: Final answer
    x = 6,850.51

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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.