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Finding the Fourth Proportional to 11,895.49, 16,409.19 and 7,580.53

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Solution

The fourth proportional to 11,895.49, 16,409.19 and 7,580.53 is: 10,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.49 : 16,409.19 = 7,580.53 : x
  2. Step 2: Convert to fraction form
    11,895.49/16,409.19 = 7,580.53/x
  3. Step 3: Cross multiply
    11,895.49x = 16,409.19 × 7,580.53
  4. Step 4: Simplify right side
    11,895.49x = 124,390,357.07
  5. Step 5: Solve for x
    x = 124,390,357.07/11,895.49
  6. Step 6: Final answer
    x = 10,456.93

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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.