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Finding the Fourth Proportional to 11,634.46, 16,061.00 and 7,445.14

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Solution

The fourth proportional to 11,634.46, 16,061.00 and 7,445.14 is: 10,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.46 : 16,061.00 = 7,445.14 : x
  2. Step 2: Convert to fraction form
    11,634.46/16,061.00 = 7,445.14/x
  3. Step 3: Cross multiply
    11,634.46x = 16,061.00 × 7,445.14
  4. Step 4: Simplify right side
    11,634.46x = 119,576,316.16
  5. Step 5: Solve for x
    x = 119,576,316.16/11,634.46
  6. Step 6: Final answer
    x = 10,277.77

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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.