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Finding the Fourth Proportional to 10,672.34, 14,735.79 and 6,897.87

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Solution

The fourth proportional to 10,672.34, 14,735.79 and 6,897.87 is: 9,524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.34 : 14,735.79 = 6,897.87 : x
  2. Step 2: Convert to fraction form
    10,672.34/14,735.79 = 6,897.87/x
  3. Step 3: Cross multiply
    10,672.34x = 14,735.79 × 6,897.87
  4. Step 4: Simplify right side
    10,672.34x = 101,645,563.77
  5. Step 5: Solve for x
    x = 101,645,563.77/10,672.34
  6. Step 6: Final answer
    x = 9,524.21

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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.