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Finding the Fourth Proportional to 10,952.30, 16,414.05 and 9,713.90

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Solution

The fourth proportional to 10,952.30, 16,414.05 and 9,713.90 is: 14,558.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.30 : 16,414.05 = 9,713.90 : x
  2. Step 2: Convert to fraction form
    10,952.30/16,414.05 = 9,713.90/x
  3. Step 3: Cross multiply
    10,952.30x = 16,414.05 × 9,713.90
  4. Step 4: Simplify right side
    10,952.30x = 159,444,440.30
  5. Step 5: Solve for x
    x = 159,444,440.30/10,952.30
  6. Step 6: Final answer
    x = 14,558.08

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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.