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Finding the Fourth Proportional to 10,637.73, 14,680.78 and 7,046.46

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Solution

The fourth proportional to 10,637.73, 14,680.78 and 7,046.46 is: 9,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.73 : 14,680.78 = 7,046.46 : x
  2. Step 2: Convert to fraction form
    10,637.73/14,680.78 = 7,046.46/x
  3. Step 3: Cross multiply
    10,637.73x = 14,680.78 × 7,046.46
  4. Step 4: Simplify right side
    10,637.73x = 103,447,511.42
  5. Step 5: Solve for x
    x = 103,447,511.42/10,637.73
  6. Step 6: Final answer
    x = 9,724.59

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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.