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Finding the Fourth Proportional to 8,554.68, 12,827.16 and 5,094.36

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Solution

The fourth proportional to 8,554.68, 12,827.16 and 5,094.36 is: 7,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,554.68 : 12,827.16 = 5,094.36 : x
  2. Step 2: Convert to fraction form
    8,554.68/12,827.16 = 5,094.36/x
  3. Step 3: Cross multiply
    8,554.68x = 12,827.16 × 5,094.36
  4. Step 4: Simplify right side
    8,554.68x = 65,346,170.82
  5. Step 5: Solve for x
    x = 65,346,170.82/8,554.68
  6. Step 6: Final answer
    x = 7,638.65

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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.