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Finding the Fourth Proportional to 8,402.02, 11,595.36 and 5,564.50

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Solution

The fourth proportional to 8,402.02, 11,595.36 and 5,564.50 is: 7,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.02 : 11,595.36 = 5,564.50 : x
  2. Step 2: Convert to fraction form
    8,402.02/11,595.36 = 5,564.50/x
  3. Step 3: Cross multiply
    8,402.02x = 11,595.36 × 5,564.50
  4. Step 4: Simplify right side
    8,402.02x = 64,522,380.72
  5. Step 5: Solve for x
    x = 64,522,380.72/8,402.02
  6. Step 6: Final answer
    x = 7,679.39

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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.