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Finding the Fourth Proportional to 10,329.81, 15,490.97 and 5,653.28

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Solution

The fourth proportional to 10,329.81, 15,490.97 and 5,653.28 is: 8,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.81 : 15,490.97 = 5,653.28 : x
  2. Step 2: Convert to fraction form
    10,329.81/15,490.97 = 5,653.28/x
  3. Step 3: Cross multiply
    10,329.81x = 15,490.97 × 5,653.28
  4. Step 4: Simplify right side
    10,329.81x = 87,574,685.16
  5. Step 5: Solve for x
    x = 87,574,685.16/10,329.81
  6. Step 6: Final answer
    x = 8,477.86

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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.