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Finding the Fourth Proportional to 10,084.82, 15,128.31 and 3,064.82

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Solution

The fourth proportional to 10,084.82, 15,128.31 and 3,064.82 is: 4,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.82 : 15,128.31 = 3,064.82 : x
  2. Step 2: Convert to fraction form
    10,084.82/15,128.31 = 3,064.82/x
  3. Step 3: Cross multiply
    10,084.82x = 15,128.31 × 3,064.82
  4. Step 4: Simplify right side
    10,084.82x = 46,365,547.05
  5. Step 5: Solve for x
    x = 46,365,547.05/10,084.82
  6. Step 6: Final answer
    x = 4,597.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.