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Finding the Fourth Proportional to 10,544.64, 14,551.20 and 5,828.16

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Solution

The fourth proportional to 10,544.64, 14,551.20 and 5,828.16 is: 8,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.64 : 14,551.20 = 5,828.16 : x
  2. Step 2: Convert to fraction form
    10,544.64/14,551.20 = 5,828.16/x
  3. Step 3: Cross multiply
    10,544.64x = 14,551.20 × 5,828.16
  4. Step 4: Simplify right side
    10,544.64x = 84,806,721.79
  5. Step 5: Solve for x
    x = 84,806,721.79/10,544.64
  6. Step 6: Final answer
    x = 8,042.64

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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.