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Finding the Fourth Proportional to 5,123.68, 7,694.80 and 4,712.08

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Solution

The fourth proportional to 5,123.68, 7,694.80 and 4,712.08 is: 7,076.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.68 : 7,694.80 = 4,712.08 : x
  2. Step 2: Convert to fraction form
    5,123.68/7,694.80 = 4,712.08/x
  3. Step 3: Cross multiply
    5,123.68x = 7,694.80 × 4,712.08
  4. Step 4: Simplify right side
    5,123.68x = 36,258,513.18
  5. Step 5: Solve for x
    x = 36,258,513.18/5,123.68
  6. Step 6: Final answer
    x = 7,076.65

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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.