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Finding the Fourth Proportional to 10,701.82, 14,763.52 and 6,926.20

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Solution

The fourth proportional to 10,701.82, 14,763.52 and 6,926.20 is: 9,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.82 : 14,763.52 = 6,926.20 : x
  2. Step 2: Convert to fraction form
    10,701.82/14,763.52 = 6,926.20/x
  3. Step 3: Cross multiply
    10,701.82x = 14,763.52 × 6,926.20
  4. Step 4: Simplify right side
    10,701.82x = 102,255,092.22
  5. Step 5: Solve for x
    x = 102,255,092.22/10,701.82
  6. Step 6: Final answer
    x = 9,554.93

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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.