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Finding the Fourth Proportional to 10,313.64, 15,473.52 and 3,294.10

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Solution

The fourth proportional to 10,313.64, 15,473.52 and 3,294.10 is: 4,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.64 : 15,473.52 = 3,294.10 : x
  2. Step 2: Convert to fraction form
    10,313.64/15,473.52 = 3,294.10/x
  3. Step 3: Cross multiply
    10,313.64x = 15,473.52 × 3,294.10
  4. Step 4: Simplify right side
    10,313.64x = 50,971,322.23
  5. Step 5: Solve for x
    x = 50,971,322.23/10,313.64
  6. Step 6: Final answer
    x = 4,942.13

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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.