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Finding the Fourth Proportional to 10,324.88, 14,247.87 and 5,848.54

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Solution

The fourth proportional to 10,324.88, 14,247.87 and 5,848.54 is: 8,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.88 : 14,247.87 = 5,848.54 : x
  2. Step 2: Convert to fraction form
    10,324.88/14,247.87 = 5,848.54/x
  3. Step 3: Cross multiply
    10,324.88x = 14,247.87 × 5,848.54
  4. Step 4: Simplify right side
    10,324.88x = 83,329,234.42
  5. Step 5: Solve for x
    x = 83,329,234.42/10,324.88
  6. Step 6: Final answer
    x = 8,070.72

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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.