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Finding the Fourth Proportional to 10,313.92, 15,455.76 and 6,406.48

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Solution

The fourth proportional to 10,313.92, 15,455.76 and 6,406.48 is: 9,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.92 : 15,455.76 = 6,406.48 : x
  2. Step 2: Convert to fraction form
    10,313.92/15,455.76 = 6,406.48/x
  3. Step 3: Cross multiply
    10,313.92x = 15,455.76 × 6,406.48
  4. Step 4: Simplify right side
    10,313.92x = 99,017,017.32
  5. Step 5: Solve for x
    x = 99,017,017.32/10,313.92
  6. Step 6: Final answer
    x = 9,600.33

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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.