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Finding the Fourth Proportional to 7,853.28, 10,838.21 and 5,340.98

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Solution

The fourth proportional to 7,853.28, 10,838.21 and 5,340.98 is: 7,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.28 : 10,838.21 = 5,340.98 : x
  2. Step 2: Convert to fraction form
    7,853.28/10,838.21 = 5,340.98/x
  3. Step 3: Cross multiply
    7,853.28x = 10,838.21 × 5,340.98
  4. Step 4: Simplify right side
    7,853.28x = 57,886,581.95
  5. Step 5: Solve for x
    x = 57,886,581.95/7,853.28
  6. Step 6: Final answer
    x = 7,371.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.