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Finding the Fourth Proportional to 7,594.86, 11,383.65 and 3,690.30

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Solution

The fourth proportional to 7,594.86, 11,383.65 and 3,690.30 is: 5,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.86 : 11,383.65 = 3,690.30 : x
  2. Step 2: Convert to fraction form
    7,594.86/11,383.65 = 3,690.30/x
  3. Step 3: Cross multiply
    7,594.86x = 11,383.65 × 3,690.30
  4. Step 4: Simplify right side
    7,594.86x = 42,009,083.60
  5. Step 5: Solve for x
    x = 42,009,083.60/7,594.86
  6. Step 6: Final answer
    x = 5,531.25

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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.