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Finding the Fourth Proportional to 7,105.71, 10,658.59 and 2,175.33

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Solution

The fourth proportional to 7,105.71, 10,658.59 and 2,175.33 is: 3,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.71 : 10,658.59 = 2,175.33 : x
  2. Step 2: Convert to fraction form
    7,105.71/10,658.59 = 2,175.33/x
  3. Step 3: Cross multiply
    7,105.71x = 10,658.59 × 2,175.33
  4. Step 4: Simplify right side
    7,105.71x = 23,185,950.58
  5. Step 5: Solve for x
    x = 23,185,950.58/7,105.71
  6. Step 6: Final answer
    x = 3,263.00

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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.