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Finding the Fourth Proportional to 7,594.42, 11,393.82 and 2,330.20

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Solution

The fourth proportional to 7,594.42, 11,393.82 and 2,330.20 is: 3,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.42 : 11,393.82 = 2,330.20 : x
  2. Step 2: Convert to fraction form
    7,594.42/11,393.82 = 2,330.20/x
  3. Step 3: Cross multiply
    7,594.42x = 11,393.82 × 2,330.20
  4. Step 4: Simplify right side
    7,594.42x = 26,549,910.60
  5. Step 5: Solve for x
    x = 26,549,910.60/7,594.42
  6. Step 6: Final answer
    x = 3,495.98

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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.