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Finding the Fourth Proportional to 8,564.70, 12,848.67 and 4,401.30

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Solution

The fourth proportional to 8,564.70, 12,848.67 and 4,401.30 is: 6,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.70 : 12,848.67 = 4,401.30 : x
  2. Step 2: Convert to fraction form
    8,564.70/12,848.67 = 4,401.30/x
  3. Step 3: Cross multiply
    8,564.70x = 12,848.67 × 4,401.30
  4. Step 4: Simplify right side
    8,564.70x = 56,550,851.27
  5. Step 5: Solve for x
    x = 56,550,851.27/8,564.70
  6. Step 6: Final answer
    x = 6,602.78

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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.