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Finding the Fourth Proportional to 7,010, 10,516.89 and 2,330.77

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Solution

The fourth proportional to 7,010, 10,516.89 and 2,330.77 is: 3,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010 : 10,516.89 = 2,330.77 : x
  2. Step 2: Convert to fraction form
    7,010/10,516.89 = 2,330.77/x
  3. Step 3: Cross multiply
    7,010x = 10,516.89 × 2,330.77
  4. Step 4: Simplify right side
    7,010x = 24,512,387.47
  5. Step 5: Solve for x
    x = 24,512,387.47/7,010
  6. Step 6: Final answer
    x = 3,496.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.