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Finding the Fourth Proportional to 7,007.82, 10,516.98 and 4,781.40

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Solution

The fourth proportional to 7,007.82, 10,516.98 and 4,781.40 is: 7,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.82 : 10,516.98 = 4,781.40 : x
  2. Step 2: Convert to fraction form
    7,007.82/10,516.98 = 4,781.40/x
  3. Step 3: Cross multiply
    7,007.82x = 10,516.98 × 4,781.40
  4. Step 4: Simplify right side
    7,007.82x = 50,285,888.17
  5. Step 5: Solve for x
    x = 50,285,888.17/7,007.82
  6. Step 6: Final answer
    x = 7,175.68

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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.