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Finding the Fourth Proportional to 11,456.49, 15,810.75 and 6,421.14

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Solution

The fourth proportional to 11,456.49, 15,810.75 and 6,421.14 is: 8,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.49 : 15,810.75 = 6,421.14 : x
  2. Step 2: Convert to fraction form
    11,456.49/15,810.75 = 6,421.14/x
  3. Step 3: Cross multiply
    11,456.49x = 15,810.75 × 6,421.14
  4. Step 4: Simplify right side
    11,456.49x = 101,523,039.26
  5. Step 5: Solve for x
    x = 101,523,039.26/11,456.49
  6. Step 6: Final answer
    x = 8,861.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.