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Finding the Fourth Proportional to 10,502.64, 14,493.12 and 6,776.64

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Solution

The fourth proportional to 10,502.64, 14,493.12 and 6,776.64 is: 9,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.64 : 14,493.12 = 6,776.64 : x
  2. Step 2: Convert to fraction form
    10,502.64/14,493.12 = 6,776.64/x
  3. Step 3: Cross multiply
    10,502.64x = 14,493.12 × 6,776.64
  4. Step 4: Simplify right side
    10,502.64x = 98,214,656.72
  5. Step 5: Solve for x
    x = 98,214,656.72/10,502.64
  6. Step 6: Final answer
    x = 9,351.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.