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Finding the Fourth Proportional to 10,523.36, 15,783.04 and 3,502.32

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Solution

The fourth proportional to 10,523.36, 15,783.04 and 3,502.32 is: 5,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.36 : 15,783.04 = 3,502.32 : x
  2. Step 2: Convert to fraction form
    10,523.36/15,783.04 = 3,502.32/x
  3. Step 3: Cross multiply
    10,523.36x = 15,783.04 × 3,502.32
  4. Step 4: Simplify right side
    10,523.36x = 55,277,256.65
  5. Step 5: Solve for x
    x = 55,277,256.65/10,523.36
  6. Step 6: Final answer
    x = 5,252.81

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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.