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Finding the Fourth Proportional to 10,436.75, 14,403.05 and 5,721.47

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Solution

The fourth proportional to 10,436.75, 14,403.05 and 5,721.47 is: 7,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436.75 : 14,403.05 = 5,721.47 : x
  2. Step 2: Convert to fraction form
    10,436.75/14,403.05 = 5,721.47/x
  3. Step 3: Cross multiply
    10,436.75x = 14,403.05 × 5,721.47
  4. Step 4: Simplify right side
    10,436.75x = 82,406,618.48
  5. Step 5: Solve for x
    x = 82,406,618.48/10,436.75
  6. Step 6: Final answer
    x = 7,895.81

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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.