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Finding the Fourth Proportional to 10,401.36, 14,354.98 and 6,153.84

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Solution

The fourth proportional to 10,401.36, 14,354.98 and 6,153.84 is: 8,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.36 : 14,354.98 = 6,153.84 : x
  2. Step 2: Convert to fraction form
    10,401.36/14,354.98 = 6,153.84/x
  3. Step 3: Cross multiply
    10,401.36x = 14,354.98 × 6,153.84
  4. Step 4: Simplify right side
    10,401.36x = 88,338,250.12
  5. Step 5: Solve for x
    x = 88,338,250.12/10,401.36
  6. Step 6: Final answer
    x = 8,492.95

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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.