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Finding the Fourth Proportional to 10,502.72, 14,480.28 and 8,607.44

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Solution

The fourth proportional to 10,502.72, 14,480.28 and 8,607.44 is: 11,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.72 : 14,480.28 = 8,607.44 : x
  2. Step 2: Convert to fraction form
    10,502.72/14,480.28 = 8,607.44/x
  3. Step 3: Cross multiply
    10,502.72x = 14,480.28 × 8,607.44
  4. Step 4: Simplify right side
    10,502.72x = 124,638,141.28
  5. Step 5: Solve for x
    x = 124,638,141.28/10,502.72
  6. Step 6: Final answer
    x = 11,867.22

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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.