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Finding the Fourth Proportional to 12,071.21, 16,658.28 and 6,766.03

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Solution

The fourth proportional to 12,071.21, 16,658.28 and 6,766.03 is: 9,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.21 : 16,658.28 = 6,766.03 : x
  2. Step 2: Convert to fraction form
    12,071.21/16,658.28 = 6,766.03/x
  3. Step 3: Cross multiply
    12,071.21x = 16,658.28 × 6,766.03
  4. Step 4: Simplify right side
    12,071.21x = 112,710,419.26
  5. Step 5: Solve for x
    x = 112,710,419.26/12,071.21
  6. Step 6: Final answer
    x = 9,337.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.