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Finding the Fourth Proportional to 7,123.59, 10,685.79 and 2,740.50

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Solution

The fourth proportional to 7,123.59, 10,685.79 and 2,740.50 is: 4,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.59 : 10,685.79 = 2,740.50 : x
  2. Step 2: Convert to fraction form
    7,123.59/10,685.79 = 2,740.50/x
  3. Step 3: Cross multiply
    7,123.59x = 10,685.79 × 2,740.50
  4. Step 4: Simplify right side
    7,123.59x = 29,284,407.50
  5. Step 5: Solve for x
    x = 29,284,407.50/7,123.59
  6. Step 6: Final answer
    x = 4,110.91

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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.