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Finding the Fourth Proportional to 10,654.88, 14,705.12 and 7,680.56

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Solution

The fourth proportional to 10,654.88, 14,705.12 and 7,680.56 is: 10,600.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.88 : 14,705.12 = 7,680.56 : x
  2. Step 2: Convert to fraction form
    10,654.88/14,705.12 = 7,680.56/x
  3. Step 3: Cross multiply
    10,654.88x = 14,705.12 × 7,680.56
  4. Step 4: Simplify right side
    10,654.88x = 112,943,556.47
  5. Step 5: Solve for x
    x = 112,943,556.47/10,654.88
  6. Step 6: Final answer
    x = 10,600.17

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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.