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Finding the Fourth Proportional to 10,635.17, 15,952.75 and 4,784.94

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Solution

The fourth proportional to 10,635.17, 15,952.75 and 4,784.94 is: 7,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.17 : 15,952.75 = 4,784.94 : x
  2. Step 2: Convert to fraction form
    10,635.17/15,952.75 = 4,784.94/x
  3. Step 3: Cross multiply
    10,635.17x = 15,952.75 × 4,784.94
  4. Step 4: Simplify right side
    10,635.17x = 76,332,939.62
  5. Step 5: Solve for x
    x = 76,332,939.62/10,635.17
  6. Step 6: Final answer
    x = 7,177.41

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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.