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Finding the Fourth Proportional to 10,744.30, 14,851.92 and 8,965.54

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Solution

The fourth proportional to 10,744.30, 14,851.92 and 8,965.54 is: 12,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.30 : 14,851.92 = 8,965.54 : x
  2. Step 2: Convert to fraction form
    10,744.30/14,851.92 = 8,965.54/x
  3. Step 3: Cross multiply
    10,744.30x = 14,851.92 × 8,965.54
  4. Step 4: Simplify right side
    10,744.30x = 133,155,482.84
  5. Step 5: Solve for x
    x = 133,155,482.84/10,744.30
  6. Step 6: Final answer
    x = 12,393.13

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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.