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Finding the Fourth Proportional to 10,623.35, 14,662.47 and 8,512.90

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Solution

The fourth proportional to 10,623.35, 14,662.47 and 8,512.90 is: 11,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.35 : 14,662.47 = 8,512.90 : x
  2. Step 2: Convert to fraction form
    10,623.35/14,662.47 = 8,512.90/x
  3. Step 3: Cross multiply
    10,623.35x = 14,662.47 × 8,512.90
  4. Step 4: Simplify right side
    10,623.35x = 124,820,088.25
  5. Step 5: Solve for x
    x = 124,820,088.25/10,623.35
  6. Step 6: Final answer
    x = 11,749.59

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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.