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Finding the Fourth Proportional to 7,101.41, 10,635.71 and 6,855.38

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Solution

The fourth proportional to 7,101.41, 10,635.71 and 6,855.38 is: 10,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.41 : 10,635.71 = 6,855.38 : x
  2. Step 2: Convert to fraction form
    7,101.41/10,635.71 = 6,855.38/x
  3. Step 3: Cross multiply
    7,101.41x = 10,635.71 × 6,855.38
  4. Step 4: Simplify right side
    7,101.41x = 72,911,746.16
  5. Step 5: Solve for x
    x = 72,911,746.16/7,101.41
  6. Step 6: Final answer
    x = 10,267.23

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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.