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Finding the Fourth Proportional to 10,313.62, 15,491.76 and 8,341.45

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Solution

The fourth proportional to 10,313.62, 15,491.76 and 8,341.45 is: 12,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.62 : 15,491.76 = 8,341.45 : x
  2. Step 2: Convert to fraction form
    10,313.62/15,491.76 = 8,341.45/x
  3. Step 3: Cross multiply
    10,313.62x = 15,491.76 × 8,341.45
  4. Step 4: Simplify right side
    10,313.62x = 129,223,741.45
  5. Step 5: Solve for x
    x = 129,223,741.45/10,313.62
  6. Step 6: Final answer
    x = 12,529.43

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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.