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Finding the Fourth Proportional to 12,052.25, 16,632.45 and 6,746.93

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Solution

The fourth proportional to 12,052.25, 16,632.45 and 6,746.93 is: 9,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.25 : 16,632.45 = 6,746.93 : x
  2. Step 2: Convert to fraction form
    12,052.25/16,632.45 = 6,746.93/x
  3. Step 3: Cross multiply
    12,052.25x = 16,632.45 × 6,746.93
  4. Step 4: Simplify right side
    12,052.25x = 112,217,975.88
  5. Step 5: Solve for x
    x = 112,217,975.88/12,052.25
  6. Step 6: Final answer
    x = 9,310.96

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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.