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Finding the Fourth Proportional to 10,395.80, 14,346.19 and 5,615.74

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Solution

The fourth proportional to 10,395.80, 14,346.19 and 5,615.74 is: 7,749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.80 : 14,346.19 = 5,615.74 : x
  2. Step 2: Convert to fraction form
    10,395.80/14,346.19 = 5,615.74/x
  3. Step 3: Cross multiply
    10,395.80x = 14,346.19 × 5,615.74
  4. Step 4: Simplify right side
    10,395.80x = 80,564,401.30
  5. Step 5: Solve for x
    x = 80,564,401.30/10,395.80
  6. Step 6: Final answer
    x = 7,749.71

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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.