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Finding the Fourth Proportional to 8,564.19, 12,847.10 and 3,301.02

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Solution

The fourth proportional to 8,564.19, 12,847.10 and 3,301.02 is: 4,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.19 : 12,847.10 = 3,301.02 : x
  2. Step 2: Convert to fraction form
    8,564.19/12,847.10 = 3,301.02/x
  3. Step 3: Cross multiply
    8,564.19x = 12,847.10 × 3,301.02
  4. Step 4: Simplify right side
    8,564.19x = 42,408,534.04
  5. Step 5: Solve for x
    x = 42,408,534.04/8,564.19
  6. Step 6: Final answer
    x = 4,951.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.