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Finding the Fourth Proportional to 10,675.34, 14,732.10 and 6,199.28

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Solution

The fourth proportional to 10,675.34, 14,732.10 and 6,199.28 is: 8,555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.34 : 14,732.10 = 6,199.28 : x
  2. Step 2: Convert to fraction form
    10,675.34/14,732.10 = 6,199.28/x
  3. Step 3: Cross multiply
    10,675.34x = 14,732.10 × 6,199.28
  4. Step 4: Simplify right side
    10,675.34x = 91,328,412.89
  5. Step 5: Solve for x
    x = 91,328,412.89/10,675.34
  6. Step 6: Final answer
    x = 8,555.08

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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.