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Finding the Fourth Proportional to 10,234.86, 14,123.11 and 5,758.52

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Solution

The fourth proportional to 10,234.86, 14,123.11 and 5,758.52 is: 7,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.86 : 14,123.11 = 5,758.52 : x
  2. Step 2: Convert to fraction form
    10,234.86/14,123.11 = 5,758.52/x
  3. Step 3: Cross multiply
    10,234.86x = 14,123.11 × 5,758.52
  4. Step 4: Simplify right side
    10,234.86x = 81,328,211.40
  5. Step 5: Solve for x
    x = 81,328,211.40/10,234.86
  6. Step 6: Final answer
    x = 7,946.20

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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.