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Finding the Fourth Proportional to 10,517.69, 15,779.51 and 4,282.17

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Solution

The fourth proportional to 10,517.69, 15,779.51 and 4,282.17 is: 6,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.69 : 15,779.51 = 4,282.17 : x
  2. Step 2: Convert to fraction form
    10,517.69/15,779.51 = 4,282.17/x
  3. Step 3: Cross multiply
    10,517.69x = 15,779.51 × 4,282.17
  4. Step 4: Simplify right side
    10,517.69x = 67,570,544.34
  5. Step 5: Solve for x
    x = 67,570,544.34/10,517.69
  6. Step 6: Final answer
    x = 6,424.47

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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.