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Finding the Fourth Proportional to 7,123.92, 10,686.60 and 1,930.32

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Solution

The fourth proportional to 7,123.92, 10,686.60 and 1,930.32 is: 2,895.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.92 : 10,686.60 = 1,930.32 : x
  2. Step 2: Convert to fraction form
    7,123.92/10,686.60 = 1,930.32/x
  3. Step 3: Cross multiply
    7,123.92x = 10,686.60 × 1,930.32
  4. Step 4: Simplify right side
    7,123.92x = 20,628,557.71
  5. Step 5: Solve for x
    x = 20,628,557.71/7,123.92
  6. Step 6: Final answer
    x = 2,895.68

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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.