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Finding the Fourth Proportional to 10,442.84, 14,401.36 and 8,325.40

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Solution

The fourth proportional to 10,442.84, 14,401.36 and 8,325.40 is: 11,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.84 : 14,401.36 = 8,325.40 : x
  2. Step 2: Convert to fraction form
    10,442.84/14,401.36 = 8,325.40/x
  3. Step 3: Cross multiply
    10,442.84x = 14,401.36 × 8,325.40
  4. Step 4: Simplify right side
    10,442.84x = 119,897,082.54
  5. Step 5: Solve for x
    x = 119,897,082.54/10,442.84
  6. Step 6: Final answer
    x = 11,481.27

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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.