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Finding the Fourth Proportional to 10,443.84, 14,412.52 and 5,728.16

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Solution

The fourth proportional to 10,443.84, 14,412.52 and 5,728.16 is: 7,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.84 : 14,412.52 = 5,728.16 : x
  2. Step 2: Convert to fraction form
    10,443.84/14,412.52 = 5,728.16/x
  3. Step 3: Cross multiply
    10,443.84x = 14,412.52 × 5,728.16
  4. Step 4: Simplify right side
    10,443.84x = 82,557,220.56
  5. Step 5: Solve for x
    x = 82,557,220.56/10,443.84
  6. Step 6: Final answer
    x = 7,904.87

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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.