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Finding the Fourth Proportional to 10,234.54, 15,348.56 and 4,389.58

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Solution

The fourth proportional to 10,234.54, 15,348.56 and 4,389.58 is: 6,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.54 : 15,348.56 = 4,389.58 : x
  2. Step 2: Convert to fraction form
    10,234.54/15,348.56 = 4,389.58/x
  3. Step 3: Cross multiply
    10,234.54x = 15,348.56 × 4,389.58
  4. Step 4: Simplify right side
    10,234.54x = 67,373,732.00
  5. Step 5: Solve for x
    x = 67,373,732.00/10,234.54
  6. Step 6: Final answer
    x = 6,582.98

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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.