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Finding the Fourth Proportional to 8,548.32, 12,822.02 and 2,308.25

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Solution

The fourth proportional to 8,548.32, 12,822.02 and 2,308.25 is: 3,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.32 : 12,822.02 = 2,308.25 : x
  2. Step 2: Convert to fraction form
    8,548.32/12,822.02 = 2,308.25/x
  3. Step 3: Cross multiply
    8,548.32x = 12,822.02 × 2,308.25
  4. Step 4: Simplify right side
    8,548.32x = 29,596,352.01
  5. Step 5: Solve for x
    x = 29,596,352.01/8,548.32
  6. Step 6: Final answer
    x = 3,462.24

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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.