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Finding the Fourth Proportional to 10,234.73, 14,123.98 and 5,758.55

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Solution

The fourth proportional to 10,234.73, 14,123.98 and 5,758.55 is: 7,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.73 : 14,123.98 = 5,758.55 : x
  2. Step 2: Convert to fraction form
    10,234.73/14,123.98 = 5,758.55/x
  3. Step 3: Cross multiply
    10,234.73x = 14,123.98 × 5,758.55
  4. Step 4: Simplify right side
    10,234.73x = 81,333,714.02
  5. Step 5: Solve for x
    x = 81,333,714.02/10,234.73
  6. Step 6: Final answer
    x = 7,946.84

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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.