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Finding the Fourth Proportional to 10,766.76, 14,849.88 and 7,792.44

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Solution

The fourth proportional to 10,766.76, 14,849.88 and 7,792.44 is: 10,747.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.76 : 14,849.88 = 7,792.44 : x
  2. Step 2: Convert to fraction form
    10,766.76/14,849.88 = 7,792.44/x
  3. Step 3: Cross multiply
    10,766.76x = 14,849.88 × 7,792.44
  4. Step 4: Simplify right side
    10,766.76x = 115,716,798.91
  5. Step 5: Solve for x
    x = 115,716,798.91/10,766.76
  6. Step 6: Final answer
    x = 10,747.60

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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.