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Finding the Fourth Proportional to 10,758.29, 16,123.49 and 4,830.80

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Solution

The fourth proportional to 10,758.29, 16,123.49 and 4,830.80 is: 7,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.29 : 16,123.49 = 4,830.80 : x
  2. Step 2: Convert to fraction form
    10,758.29/16,123.49 = 4,830.80/x
  3. Step 3: Cross multiply
    10,758.29x = 16,123.49 × 4,830.80
  4. Step 4: Simplify right side
    10,758.29x = 77,889,331.34
  5. Step 5: Solve for x
    x = 77,889,331.34/10,758.29
  6. Step 6: Final answer
    x = 7,239.94

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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.