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Finding the Fourth Proportional to 10,443.48, 14,411.96 and 5,728.06

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Solution

The fourth proportional to 10,443.48, 14,411.96 and 5,728.06 is: 7,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.48 : 14,411.96 = 5,728.06 : x
  2. Step 2: Convert to fraction form
    10,443.48/14,411.96 = 5,728.06/x
  3. Step 3: Cross multiply
    10,443.48x = 14,411.96 × 5,728.06
  4. Step 4: Simplify right side
    10,443.48x = 82,552,571.60
  5. Step 5: Solve for x
    x = 82,552,571.60/10,443.48
  6. Step 6: Final answer
    x = 7,904.70

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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.