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Finding the Fourth Proportional to 10,652.81, 14,687.20 and 8,731.55

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Solution

The fourth proportional to 10,652.81, 14,687.20 and 8,731.55 is: 12,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.81 : 14,687.20 = 8,731.55 : x
  2. Step 2: Convert to fraction form
    10,652.81/14,687.20 = 8,731.55/x
  3. Step 3: Cross multiply
    10,652.81x = 14,687.20 × 8,731.55
  4. Step 4: Simplify right side
    10,652.81x = 128,242,036.05
  5. Step 5: Solve for x
    x = 128,242,036.05/10,652.81
  6. Step 6: Final answer
    x = 12,038.34

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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.