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Finding the Fourth Proportional to 10,288.49, 15,429.53 and 3,713.82

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Solution

The fourth proportional to 10,288.49, 15,429.53 and 3,713.82 is: 5,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.49 : 15,429.53 = 3,713.82 : x
  2. Step 2: Convert to fraction form
    10,288.49/15,429.53 = 3,713.82/x
  3. Step 3: Cross multiply
    10,288.49x = 15,429.53 × 3,713.82
  4. Step 4: Simplify right side
    10,288.49x = 57,302,497.10
  5. Step 5: Solve for x
    x = 57,302,497.10/10,288.49
  6. Step 6: Final answer
    x = 5,569.57

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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.