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Finding the Fourth Proportional to 7,596.96, 11,397.12 and 4,311.60

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Solution

The fourth proportional to 7,596.96, 11,397.12 and 4,311.60 is: 6,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.96 : 11,397.12 = 4,311.60 : x
  2. Step 2: Convert to fraction form
    7,596.96/11,397.12 = 4,311.60/x
  3. Step 3: Cross multiply
    7,596.96x = 11,397.12 × 4,311.60
  4. Step 4: Simplify right side
    7,596.96x = 49,139,822.59
  5. Step 5: Solve for x
    x = 49,139,822.59/7,596.96
  6. Step 6: Final answer
    x = 6,468.35

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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.