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Finding the Fourth Proportional to 10,234.70, 15,341.79 and 4,313.01

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Solution

The fourth proportional to 10,234.70, 15,341.79 and 4,313.01 is: 6,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.70 : 15,341.79 = 4,313.01 : x
  2. Step 2: Convert to fraction form
    10,234.70/15,341.79 = 4,313.01/x
  3. Step 3: Cross multiply
    10,234.70x = 15,341.79 × 4,313.01
  4. Step 4: Simplify right side
    10,234.70x = 66,169,293.69
  5. Step 5: Solve for x
    x = 66,169,293.69/10,234.70
  6. Step 6: Final answer
    x = 6,465.19

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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.