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Finding the Fourth Proportional to 10,215.69, 15,315.93 and 4,294.31

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Solution

The fourth proportional to 10,215.69, 15,315.93 and 4,294.31 is: 6,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.69 : 15,315.93 = 4,294.31 : x
  2. Step 2: Convert to fraction form
    10,215.69/15,315.93 = 4,294.31/x
  3. Step 3: Cross multiply
    10,215.69x = 15,315.93 × 4,294.31
  4. Step 4: Simplify right side
    10,215.69x = 65,771,329.89
  5. Step 5: Solve for x
    x = 65,771,329.89/10,215.69
  6. Step 6: Final answer
    x = 6,438.27

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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.