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Finding the Fourth Proportional to 7,123.60, 10,690.08 and 2,506.56

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Solution

The fourth proportional to 7,123.60, 10,690.08 and 2,506.56 is: 3,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.60 : 10,690.08 = 2,506.56 : x
  2. Step 2: Convert to fraction form
    7,123.60/10,690.08 = 2,506.56/x
  3. Step 3: Cross multiply
    7,123.60x = 10,690.08 × 2,506.56
  4. Step 4: Simplify right side
    7,123.60x = 26,795,326.92
  5. Step 5: Solve for x
    x = 26,795,326.92/7,123.60
  6. Step 6: Final answer
    x = 3,761.49

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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.