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Finding the Fourth Proportional to 7,298.64, 10,945.53 and 2,914.92

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Solution

The fourth proportional to 7,298.64, 10,945.53 and 2,914.92 is: 4,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.64 : 10,945.53 = 2,914.92 : x
  2. Step 2: Convert to fraction form
    7,298.64/10,945.53 = 2,914.92/x
  3. Step 3: Cross multiply
    7,298.64x = 10,945.53 × 2,914.92
  4. Step 4: Simplify right side
    7,298.64x = 31,905,344.31
  5. Step 5: Solve for x
    x = 31,905,344.31/7,298.64
  6. Step 6: Final answer
    x = 4,371.41

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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.