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Finding the Fourth Proportional to 7,097.19, 10,634.84 and 4,494.66

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Solution

The fourth proportional to 7,097.19, 10,634.84 and 4,494.66 is: 6,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.19 : 10,634.84 = 4,494.66 : x
  2. Step 2: Convert to fraction form
    7,097.19/10,634.84 = 4,494.66/x
  3. Step 3: Cross multiply
    7,097.19x = 10,634.84 × 4,494.66
  4. Step 4: Simplify right side
    7,097.19x = 47,799,967.48
  5. Step 5: Solve for x
    x = 47,799,967.48/7,097.19
  6. Step 6: Final answer
    x = 6,735.06

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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.