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Finding the Fourth Proportional to 8,725.34, 12,044.76 and 6,071.78

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Solution

The fourth proportional to 8,725.34, 12,044.76 and 6,071.78 is: 8,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725.34 : 12,044.76 = 6,071.78 : x
  2. Step 2: Convert to fraction form
    8,725.34/12,044.76 = 6,071.78/x
  3. Step 3: Cross multiply
    8,725.34x = 12,044.76 × 6,071.78
  4. Step 4: Simplify right side
    8,725.34x = 73,133,132.87
  5. Step 5: Solve for x
    x = 73,133,132.87/8,725.34
  6. Step 6: Final answer
    x = 8,381.69

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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.