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Finding the Fourth Proportional to 10,667.84, 14,729.58 and 6,893.37

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Solution

The fourth proportional to 10,667.84, 14,729.58 and 6,893.37 is: 9,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.84 : 14,729.58 = 6,893.37 : x
  2. Step 2: Convert to fraction form
    10,667.84/14,729.58 = 6,893.37/x
  3. Step 3: Cross multiply
    10,667.84x = 14,729.58 × 6,893.37
  4. Step 4: Simplify right side
    10,667.84x = 101,536,444.88
  5. Step 5: Solve for x
    x = 101,536,444.88/10,667.84
  6. Step 6: Final answer
    x = 9,518.00

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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.