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Finding the Fourth Proportional to 8,516, 11,752.64 and 4,790.24

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Solution

The fourth proportional to 8,516, 11,752.64 and 4,790.24 is: 6,610.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516 : 11,752.64 = 4,790.24 : x
  2. Step 2: Convert to fraction form
    8,516/11,752.64 = 4,790.24/x
  3. Step 3: Cross multiply
    8,516x = 11,752.64 × 4,790.24
  4. Step 4: Simplify right side
    8,516x = 56,297,966.23
  5. Step 5: Solve for x
    x = 56,297,966.23/8,516
  6. Step 6: Final answer
    x = 6,610.85

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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.