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Finding the Fourth Proportional to 7,703.80, 10,634.28 and 5,193.06

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Solution

The fourth proportional to 7,703.80, 10,634.28 and 5,193.06 is: 7,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.80 : 10,634.28 = 5,193.06 : x
  2. Step 2: Convert to fraction form
    7,703.80/10,634.28 = 5,193.06/x
  3. Step 3: Cross multiply
    7,703.80x = 10,634.28 × 5,193.06
  4. Step 4: Simplify right side
    7,703.80x = 55,224,454.10
  5. Step 5: Solve for x
    x = 55,224,454.10/7,703.80
  6. Step 6: Final answer
    x = 7,168.47

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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.