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Finding the Fourth Proportional to 10,320.53, 15,480.80 and 9,794.63

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Solution

The fourth proportional to 10,320.53, 15,480.80 and 9,794.63 is: 14,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.53 : 15,480.80 = 9,794.63 : x
  2. Step 2: Convert to fraction form
    10,320.53/15,480.80 = 9,794.63/x
  3. Step 3: Cross multiply
    10,320.53x = 15,480.80 × 9,794.63
  4. Step 4: Simplify right side
    10,320.53x = 151,628,581.73
  5. Step 5: Solve for x
    x = 151,628,581.73/10,320.53
  6. Step 6: Final answer
    x = 14,691.94

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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.