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Finding the Fourth Proportional to 10,398.34, 15,605.03 and 4,160.09

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Solution

The fourth proportional to 10,398.34, 15,605.03 and 4,160.09 is: 6,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.34 : 15,605.03 = 4,160.09 : x
  2. Step 2: Convert to fraction form
    10,398.34/15,605.03 = 4,160.09/x
  3. Step 3: Cross multiply
    10,398.34x = 15,605.03 × 4,160.09
  4. Step 4: Simplify right side
    10,398.34x = 64,918,378.67
  5. Step 5: Solve for x
    x = 64,918,378.67/10,398.34
  6. Step 6: Final answer
    x = 6,243.15

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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.