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Finding the Fourth Proportional to 10,401.60, 15,607.32 and 5,211.12

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Solution

The fourth proportional to 10,401.60, 15,607.32 and 5,211.12 is: 7,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.60 : 15,607.32 = 5,211.12 : x
  2. Step 2: Convert to fraction form
    10,401.60/15,607.32 = 5,211.12/x
  3. Step 3: Cross multiply
    10,401.60x = 15,607.32 × 5,211.12
  4. Step 4: Simplify right side
    10,401.60x = 81,331,617.40
  5. Step 5: Solve for x
    x = 81,331,617.40/10,401.60
  6. Step 6: Final answer
    x = 7,819.14

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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.