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Finding the Fourth Proportional to 10,307.33, 15,462.21 and 3,284.90

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Solution

The fourth proportional to 10,307.33, 15,462.21 and 3,284.90 is: 4,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.33 : 15,462.21 = 3,284.90 : x
  2. Step 2: Convert to fraction form
    10,307.33/15,462.21 = 3,284.90/x
  3. Step 3: Cross multiply
    10,307.33x = 15,462.21 × 3,284.90
  4. Step 4: Simplify right side
    10,307.33x = 50,791,813.63
  5. Step 5: Solve for x
    x = 50,791,813.63/10,307.33
  6. Step 6: Final answer
    x = 4,927.74

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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.