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Finding the Fourth Proportional to 10,307.67, 15,460.73 and 3,287.40

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Solution

The fourth proportional to 10,307.67, 15,460.73 and 3,287.40 is: 4,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.67 : 15,460.73 = 3,287.40 : x
  2. Step 2: Convert to fraction form
    10,307.67/15,460.73 = 3,287.40/x
  3. Step 3: Cross multiply
    10,307.67x = 15,460.73 × 3,287.40
  4. Step 4: Simplify right side
    10,307.67x = 50,825,637.93
  5. Step 5: Solve for x
    x = 50,825,637.93/10,307.67
  6. Step 6: Final answer
    x = 4,930.86

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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.