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Finding the Fourth Proportional to 8,513.50, 11,748.64 and 4,787.50

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Solution

The fourth proportional to 8,513.50, 11,748.64 and 4,787.50 is: 6,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.50 : 11,748.64 = 4,787.50 : x
  2. Step 2: Convert to fraction form
    8,513.50/11,748.64 = 4,787.50/x
  3. Step 3: Cross multiply
    8,513.50x = 11,748.64 × 4,787.50
  4. Step 4: Simplify right side
    8,513.50x = 56,246,614
  5. Step 5: Solve for x
    x = 56,246,614/8,513.50
  6. Step 6: Final answer
    x = 6,606.76

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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.