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Finding the Fourth Proportional to 10,732, 14,805.12 and 7,589.92

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Solution

The fourth proportional to 10,732, 14,805.12 and 7,589.92 is: 10,470.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732 : 14,805.12 = 7,589.92 : x
  2. Step 2: Convert to fraction form
    10,732/14,805.12 = 7,589.92/x
  3. Step 3: Cross multiply
    10,732x = 14,805.12 × 7,589.92
  4. Step 4: Simplify right side
    10,732x = 112,369,676.39
  5. Step 5: Solve for x
    x = 112,369,676.39/10,732
  6. Step 6: Final answer
    x = 10,470.53

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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.